Fibonacci_correction.ipynb

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    "![En tête general](img/En_tete_general.png)\n",
    "\n",
    "\n",
    "*(C) Copyright Franck CHEVRIER 2019-2021 http://www.python-lycee.com/*\n",
    "\n",
    "<span style=\"color: #9317B4\"> Pour exécuter une saisie Python, sélectionner la cellule et valider avec </span><span style=\"color: #B317B4\"><strong>SHIFT+Entrée</strong></span>.\n"
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   "source": [
    "# <span style=\"color:#6C3483\">La suite de Fibonacci </span> <span style=\"color:red;\">(Corrigé)</span>\n"
   ]
  },
  {
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    "### <span style=\"color:#8E44AD\">Sommaire</span>\n",
    "\n",
    "<span style=\"color:#8E44AD\">1.</span> <a href=\"#1\">Définition par récurrence de la suite de Fibonacci.</a><br>\n",
    "<span style=\"color:#8E44AD\">2.</span> <a href=\"#2\">Formule de Binet : calculs directs des termes de la suite.</a><br>\n",
    "<span style=\"color:#8E44AD\">3.</span> <a href=\"#3\">Complément sur la suite de Fibonacci : Quotients de termes successifs.</a> <span style=\"background-color:#FAFBDC; color:#7B5802; font-size:0.6em;\">(T<sup>ale</sup> Spé Math)</span><br>\n",
    "\n"
   ]
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  {
   "cell_type": "markdown",
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   "source": [
    "## <span style=\"color:#8E44AD\" id=\"1\">1. Définition par récurrence de la suite de Fibonacci.</span>"
   ]
  },
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    "<BLOCKQUOTE style=\"background-color:#E9E2EC; color:#4B026B;\">\n",
    "On considère l'évolution d'une population (fictive) de lapins, régie par les règles suivantes :\n",
    "<ul>\n",
    "    <li> Initialement, il y a un couple de jeunes lapins ;</li> \n",
    "    <li> Un nouveau couple de lapins doit attendre 1 mois avant d'être adulte et de pouvoir se reproduire ;</li> \n",
    "    <li> Chaque mois, chaque couple de lapins adulte donne naissance à un nouveau couple de jeunes lapins ;</li> \n",
    "    <li> Les couples de lapins ne meurent jamais.</li>\n",
    "</ul>\n",
    "</BLOCKQUOTE>\n",
    "Activer la cellule ci-dessous pour obtenir une illustration dynamique des premiers mois d'observation.<br>\n",
    "<span style=\"color: #FF0000\">Pour faire apparaître et activer l'animation, sélectionner la cellule ci-dessous et valider avec <strong>SHIFT+Entrée</strong>.</span><br>\n",
    "<span style=\"color: #BDBFBF\">Vous pouvez ensuite utiliser les menus cinématiques :</span>\n",
    "\n",
    "![Menus_animation](img/menus_animation_GeoGebra.png)\n"
   ]
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   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
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\"\n",
       "\t\t\t\t\tdata-param-enableRightClick=\"false\"\n",
       "\t\t\t\t\tdata-param-enableLabelDrags=\"false\"\n",
       "\t\t\t\t\tdata-param-enableShiftDragZoom=\"false\"\n",
       "\t\t\t\t\tdata-param-showMenuBar=\"false\"\n",
       "\t\t\t\t\tdata-param-showToolBar=\"false\"\n",
       "\t\t\t\t\tdata-param-showAlgebraInput=\"false\"\n",
       "\t\t\t\t\tdata-param-showResetIcon=\"true\"\n",
       "\t\t\t\t\tdata-param-useBrowserForJS=\"true\"> \n",
       "\t\t\t\t\t\t\t\t\n",
       "\t\t\t\t\t\t\t\t\n",
       "\t\t\t\t</article>\n",
       "\t\t\t</div>\n",
       "\t\t</center>\n",
       "\t</body>\n",
       "</html>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Sélectionner cette zone puis SHIFT+ENTREE\n",
    "from IPython.display import display, HTML ; display(HTML('fig_dyn_GeoGebra/Fibonacci.html'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<BLOCKQUOTE style=\"background-color:#E9E2EC; color:#4B026B;\">\n",
    "On note $F_n$ le nombre de couples de lapins à l'étape $n$, où $n \\in \\mathbb{N}$ est le rang du mois de l'observation (en considérant que $n=0$ correspond à l'étape initiale).\n",
    "</BLOCKQUOTE>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__1.1. Soit $n \\in \\mathbb{N}$. Exprimer $F_{n+2}$ en fonction de $F_{n+1}$ et $F_n$.__\n",
    "<br><br>\n",
    "<span style=\"color:red;\">$F_{n+2}=F_{n+1}+F_{n}$ où $F_{n+1}$ correspond aux couples déjà présents le mois précédent (ils ne meurent pas) et où $F_n$ correspond au nombre de naissance de nouveaux couples de lapin, égal au nombre de couples de lapins adultes le mois précédent, c'est à dire au nombre total de lapins il y a deux mois.</span>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__1.2. Exécuter les cellules Python suivantes. Pour chacune, expliquer ce que permet d'obtenir la syntaxe proposée.__\n",
    "<br><br>\n",
    "<span style=\"color:red;\">\n",
    "Les cellules permettent :\n",
    "<ul style=\"color:red;\">\n",
    "    <li>de créer une liste de 5 termes ;</li>\n",
    "    <li>d'accéder au dernier terme de la liste ;</li>\n",
    "    <li>d'accéder à l'avant dernier terme de la liste ;</li> \n",
    "    <li>d'ajouter à la liste une nouvelle valeur, somme de la dernière et de l'avant dernière valeur ;</li>\n",
    "</ul>\n",
    "</span>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1, 1, 2, 3, 5]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Fibo = [1,1,2,3,5]\n",
    "Fibo "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Fibo[-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Fibo[-2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1, 1, 2, 3, 5, 8]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = Fibo[-1]+Fibo[-2]\n",
    "Fibo.append(a)\n",
    "\n",
    "Fibo"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__1.3. Écrire une fonction Python <mark style=\"font-family: Consolas;\">Fibonacci</mark> qui reçoit <mark style=\"font-family: Consolas;\">N</mark> non nul en argument et qui renvoie la liste des termes $F_n$ pour $0 \\leq n \\leq N$.__\n",
    "<br>\n",
    "$\\quad\\;$Aide : On pourra initialiser une suite <mark style=\"font-family: Consolas;\">[1,1]</mark> que l'on complètera ensuite progressivement à l'aide d'une boucle."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Écrire ici la fonction Fibonacci\n",
    "\n",
    "def Fibonacci(N):\n",
    "    \"fonction qui renvoie la liste des premiers termes de la suite de Fibonacci\"\n",
    "    L = [1,1]\n",
    "    for k in range(N-2):\n",
    "        L.append(L[-1]+L[-2])\n",
    "    return L\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__1.4. À l'aide la fonction <mark style=\"font-family: Consolas;\">Fibonacci</mark>, obtenir la liste des 30 premiers termes de la suite de Fibonacci $(F_n)_{n \\geq 0}$.__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1,\n",
       " 1,\n",
       " 2,\n",
       " 3,\n",
       " 5,\n",
       " 8,\n",
       " 13,\n",
       " 21,\n",
       " 34,\n",
       " 55,\n",
       " 89,\n",
       " 144,\n",
       " 233,\n",
       " 377,\n",
       " 610,\n",
       " 987,\n",
       " 1597,\n",
       " 2584,\n",
       " 4181,\n",
       " 6765,\n",
       " 10946,\n",
       " 17711,\n",
       " 28657,\n",
       " 46368,\n",
       " 75025,\n",
       " 121393,\n",
       " 196418,\n",
       " 317811,\n",
       " 514229,\n",
       " 832040]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Écrire ici un appel à la fonction Fibonacci\n",
    "Fibonacci(30)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## <span style=\"color:#8E44AD\" id=\"2\">2. Formule de Binet : calculs directs des termes de la suite.</span>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<BLOCKQUOTE style=\"align:center; float:right; background-color:#FCF7E7; color:#BA4A00; font-size:0.8em;\">\n",
    "    <strong>Notations :</strong>\n",
    "    <ul>\n",
    "        <li> $\\displaystyle \\phi$ est une lettre grecque qui se lit \"<strong>phi</strong>\" ;</li>\n",
    "        <li> $\\displaystyle \\psi$ est une lettre grecque qui se lit \"<strong>psi</strong>\".</li>\n",
    "    </ul>\n",
    "    <strong>Remarque :</strong><br>\n",
    "    Le nombre $\\phi$ ainsi défini s'appelle le <strong>nombre d'or</strong>.\n",
    "</BLOCKQUOTE>\n",
    "\n",
    "\n",
    "<BLOCKQUOTE style=\"background-color:#E9E2EC; color:#4B026B;\">\n",
    "On pose $\\displaystyle \\phi=\\frac{1+\\sqrt{5}}{2}$ et $\\displaystyle \\psi=\\frac{1-\\sqrt{5}}{2}$, et on considère :\n",
    "<ul>\n",
    "    <li>la suite $(u_n)_{n \\geq 0}$ géométrique de premier terme $u_0=\\phi$ et de raison $\\displaystyle \\phi$.</li>\n",
    "    <li>la suite $(v_n)_{n \\geq 0}$ géométrique de premier terme $v_0=\\psi$ et de raison $\\displaystyle \\psi$.</li>\n",
    "</ul>\n",
    "</BLOCKQUOTE>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__2.0 Valider la cellule suivante.__<br>\n",
    "$\\;\\;\\;$__Les fonctionnalités importées de <mark style=\"font-family: Consolas;\">sympy</mark> permettront d'effectuer des calculs avec racines carrées en valeurs exactes.__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\sqrt{5}$"
      ],
      "text/plain": [
       "sqrt(5)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sympy import sqrt,simplify\n",
    "\n",
    "sqrt(5) # syntaxe pour la racine carrée de 5"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__2.1. Créer des variables Python <mark style=\"font-family: Consolas;\">phi</mark> et <mark style=\"font-family: Consolas;\">psi</mark> correspondant respectivement à $\\phi$ et $\\psi$.<br>\n",
    "$\\quad\\;\\;$Écrire ensuite des fonctions Python <mark style=\"font-family: Consolas;\">u</mark> et <mark style=\"font-family: Consolas;\">v</mark> d'argument <mark style=\"font-family: Consolas;\">n</mark> permettant le calcul de $u_n$ et $v_n$.__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{1}{2} + \\frac{\\sqrt{5}}{2}$"
      ],
      "text/plain": [
       "1/2 + sqrt(5)/2"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Utiliser ces zones de saisies pour créer phi et psi, puis pour définir u et v\n",
    "phi = (1+sqrt(5))/2\n",
    "phi  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{1}{2} - \\frac{\\sqrt{5}}{2}$"
      ],
      "text/plain": [
       "1/2 - sqrt(5)/2"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "psi = (1-sqrt(5))/2\n",
    "psi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def u(n):\n",
    "    return phi**(n+1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def v(n):\n",
    "    return psi**(n+1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__2.2. Exécuter les cellules suivantes. Qu'observe-t-on ?__\n",
    "<br><br>\n",
    "<span style=\"color:red;\">On observe que $\\displaystyle \\frac{u_3-v_3}{\\sqrt{5}}=3=F_3$ et $\\displaystyle \\frac{u_4-v_4}{\\sqrt{5}}=5=F_4$ .</span>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 3$"
      ],
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "simplify( (u(3)-v(3))/sqrt(5) )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 5$"
      ],
      "text/plain": [
       "5"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "simplify( (u(4)-v(4))/sqrt(5) )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<BLOCKQUOTE style=\"background-color:#E9E2EC; color:#4B026B;\">\n",
    "La <strong>formule de Binet</strong> affirme que pour tout $n \\in \\mathbb{N}$ ; $\\displaystyle F_{n} = \\frac{u_{n}-v_{n}}{\\sqrt{5}} $. \n",
    "</BLOCKQUOTE>\n",
    "\n",
    "<strong>2.3. Question différenciée suivant le niveau :</strong>\n",
    "<BLOCKQUOTE style=\"background-color:#F8F1FB;\">\n",
    "\n",
    "<BLOCKQUOTE style=\"background-color:#E2F2C8; color:#365405;\">\n",
    "    <strong>Version 1<sup>ère</sup> Spé Math</strong><br>\n",
    "    À l'aide de saisies Python, calculer $\\displaystyle \\frac{u_{n}-v_{n}}{\\sqrt{5}}$ pour tous les entiers $n$ de 0 jusqu'à 29.\n",
    "    <br>(on appliquera la fonction <mark style=\"font-family: Consolas;\">simplify</mark>)\n",
    "    <br>Comparer les résultats avec ceux de la question 1.4.\n",
    "    <br>Pour la suite, on admettra que la formule de Binet est vraie pour tout $n \\in \\mathbb{N}$.\n",
    "</BLOCKQUOTE>    \n",
    "<BLOCKQUOTE style=\"background-color:#FAFBDC; color:#7B5802;\">\n",
    "    <strong>Version T<sup>ale</sup> Spé Math</strong><br>\n",
    "    <strong>a.</strong> Démontrer que $\\phi$ et $\\psi$ sont les racines du polynôme $x²-x-1$.<br>\n",
    "    $\\quad$ ($\\phi$ et $\\psi$ vérifient donc $1+\\phi=\\phi^2$ et $1+\\psi=\\psi^2$).<br>\n",
    "    <strong>b.</strong> À l'aide d'un raisonnement par récurrence, démontrer que la formule de Binet est vraie pour tout $n \\in \\mathbb{N}$.\n",
    "</BLOCKQUOTE> \n",
    "    \n",
    "</BLOCKQUOTE>    \n",
    "\n",
    "<br>\n",
    "<span style=\"color:red;\">Corrigé :</span>\n",
    "<BLOCKQUOTE style=\"background-color:#E2F2C8; color:red;\">\n",
    "    <strong>Version 1<sup>ère</sup> Spé Math</strong><br>\n",
    "    Voir la saisie Python ci-dessous. On retrouve les mêmes valeurs que dans la question 1.4.\n",
    "</BLOCKQUOTE>    \n",
    "<BLOCKQUOTE style=\"background-color:#FAFBDC; color:red;\">\n",
    "    <strong>Version T<sup>ale</sup> Spé Math</strong><br>\n",
    "    <strong>a.</strong> $x²-x-1$ a pour discriminant $\\Delta = 5 > 0$ donc ce polynôme a deux racines distinctes $\\displaystyle \\phi=\\frac{1+\\sqrt{5}}{2}$ et $\\displaystyle \\psi=\\frac{1-\\sqrt{5}}{2}$.<br>\n",
    "    <strong>b.</strong> On note $P(n)$ la propriété : \" Pour $0 \\leq k \\leq n$ ; $\\displaystyle F_k=\\frac{u_{k}-v_{k}}{\\sqrt{5}}$ \"<br> \n",
    "<ul>\n",
    "    <li>$\\displaystyle \\frac{u_{0}-v_{0}}{\\sqrt{5}}=\\frac{\\phi-\\psi}{\\sqrt{5}}=\\frac{1}{\\sqrt{5}} \\times \\left( \\frac{1+\\sqrt{5}}{2}-\\frac{1-\\sqrt{5}}{2} \\right)=\\frac{1}{\\sqrt{5}} \\times \\sqrt{5}=1$<br>\n",
    "    $\\displaystyle \\frac{u_{1}-v_{1}}{\\sqrt{5}}=\\frac{\\phi^2-\\psi^2}{\\sqrt{5}}=\\frac{1+\\phi- \\left( 1+\\psi \\right) }{\\sqrt{5}}=\\frac{\\phi-\\psi}{\\sqrt{5}}=1$ donc $P(1)$ est vraie.</li>\n",
    "    <li>Supposons que $P(n)$ soit vraie pour un entier $n \\geq 1$ fixé.<br>\n",
    "        Alors:<br>\n",
    "        $F_{n+1}=F_n+F_{n-1}$<br>\n",
    "        $\\displaystyle F_{n+1}=\\frac{\\phi^{n+1}-\\psi^{n+1}}{\\sqrt{5}}+\\frac{\\phi^{n}-\\psi^{n}}{\\sqrt{5}}$<br>\n",
    "        $\\displaystyle F_{n+1}=\\frac{\\phi^{n+1}-\\psi^{n+1}+\\phi^{n}-\\psi^{n}}{\\sqrt{5}}$<br>\n",
    "        $\\displaystyle F_{n+1}=\\frac{(\\phi+1)\\phi^{n}-(\\psi+1)\\psi^{n}}{\\sqrt{5}}$<br>\n",
    "        $\\displaystyle F_{n+1}=\\frac{\\phi^2\\phi^{n}-\\psi^2\\psi^{n}}{\\sqrt{5}}$<br>    \n",
    "        $\\displaystyle F_{n+1}=\\frac{\\phi^{n+2}-\\psi^{n+2}}{\\sqrt{5}}$<br>          \n",
    "        ce qui prouve que $P(n+1)$ est vraie.\n",
    "    <li>On a démontré que $P$ est fondée pour $n=1$ et héréditaire à partir de ce rang, donc $P(n)$ est vraie pour tout $n \\geq 1$.<br> Ainsi, la formule de Binet est bien démontrée.</li>\n",
    "</ul>\n",
    "</BLOCKQUOTE> \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1,\n",
       " 1,\n",
       " 2,\n",
       " 3,\n",
       " 5,\n",
       " 8,\n",
       " 13,\n",
       " 21,\n",
       " 34,\n",
       " 55,\n",
       " 89,\n",
       " 144,\n",
       " 233,\n",
       " 377,\n",
       " 610,\n",
       " 987,\n",
       " 1597,\n",
       " 2584,\n",
       " 4181,\n",
       " 6765,\n",
       " 10946,\n",
       " 17711,\n",
       " 28657,\n",
       " 46368,\n",
       " 75025,\n",
       " 121393,\n",
       " 196418,\n",
       " 317811,\n",
       " 514229,\n",
       " 832040]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Zone pour les saisies Python (version 1ère Spé Math)\n",
    "\n",
    "[ simplify( (u(n)-v(n))/sqrt(5) ) for n in range(30) ]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__2.4.a. À l'aide des fonctions Python <mark style=\"font-family: Consolas;\">u</mark> et <mark style=\"font-family: Consolas;\">v</mark>, écrire une fonction Python <mark style=\"font-family: Consolas;\">F</mark> d'argument <mark style=\"font-family: Consolas;\">n</mark> qui permet le calcul direct de $F_n$.__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Écrire ici la fonction F\n",
    "def F(n):\n",
    "    return simplify( (u(n)-v(n))/sqrt(5) )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$\\quad$__b. Effectuer une saisie Python pour calculer $F_{10}$, puis pour calculer $F_{50}$.__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(89, 20365011074)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Effectuer ici les appels à la fonction F\n",
    "F(10),F(50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## <span style=\"color:#8E44AD\" id=\"3\">3. Complément sur la suite de Fibonacci : Quotients de termes successifs.</span> <span style=\"background-color:#FAFBDC; color:#7B5802; font-size:0.6em;\"> (T<sup>ale</sup> Spé Math)</span>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__3.1. Exécuter les cellules Python suivantes.__<br>\n",
    "$\\quad\\;\\;$__Indiquer ce que permet d'obtenir chaque cellule. Quelle conjecture permettent-elles d'énoncer ?__\n",
    "<br><br>\n",
    "<span style=\"color:red;\">Les cellules Python permettent d'évaluer $\\displaystyle \\frac{F_{21}}{F_{20}}$ et $\\displaystyle \\frac{F_{101}}{F_{100}}$.<br>\n",
    "Au vu des résultats, on peut conjecturer que $\\displaystyle \\frac{F_{n+1}}{F_{n}}$ a pour limite $\\phi$ quand $n$ tend vers $+\\infty$</span>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.618033985017358"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "float(F(21)/F(20))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.618033988749895"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "float(F(101)/F(100))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.618033988749895"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "float(phi)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__3.2.a. Vérifier que $\\displaystyle \\left| \\frac{\\psi}{\\phi} \\right|<1$ et en déduire la limite de $\\displaystyle \\left( \\frac{\\psi}{\\phi} \\right)^n$ quand $n$ tend vers $+\\infty$.__\n",
    "<br><br>\n",
    "<span style=\"color:red;\">$\\displaystyle \\left| \\frac{\\psi}{\\phi} \\right|= \\left| \\frac{1-\\sqrt{5}}{1+\\sqrt{5}} \\right| \\simeq 0,38$ donc $\\displaystyle \\left| \\frac{\\psi}{\\phi} \\right|<1$, donc (résultat sur les suites géométriques) :$\\displaystyle\\lim\\limits_{n \\to +\\infty}{ \\left( \\frac{\\psi}{\\phi} \\right)^n }=0$</span>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$\\quad\\;$__b. Démontrer que pour tout $n \\in \\mathbb{N}$ ; $\\displaystyle \\frac{F_{n+1}}{F_n}= \\phi \\times \\frac{1-\\left( \\frac{\\psi}{\\phi} \\right)^{n+2}}{1-\\left( \\frac{\\psi}{\\phi} \\right)^{n+1}}$.__\n",
    "<br><br>\n",
    "<span style=\"color:red;\">\n",
    "Pour tout $n \\in \\mathbb{N}$ ;<br>\n",
    "$\\displaystyle \\frac{F_{n+1}}{F_n}=\\frac{\\phi^{n+2}-\\psi^{n+2}}{\\sqrt{5}}\\times\\frac{\\sqrt{5}}{\\phi^{n+1}-\\psi^{n+1}}$<br>\n",
    "$\\displaystyle \\frac{F_{n+1}}{F_n}=\\frac{\\phi^{n+2}-\\psi^{n+2}}{\\phi^{n+1}-\\psi^{n+1}}$<br>\n",
    "$\\displaystyle \\frac{F_{n+1}}{F_n}=\\frac{ \\phi^{n+2} \\left( 1-\\frac{\\psi^{n+2}}{\\phi^{n+2}} \\right) }{\\phi^{n+1} \\left( 1-\\frac{\\psi^{n+1}}{\\phi^{n+1}} \\right)}$<br>\n",
    "$\\displaystyle \\frac{F_{n+1}}{F_n}= \\phi \\times \\frac{1-\\left( \\frac{\\psi}{\\phi} \\right)^{n+2}}{1-\\left( \\frac{\\psi}{\\phi} \\right)^{n+1}}$    \n",
    "</span>\n"
   ]
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$\\quad\\;$__c. Conclure : Quelle est la limite de $\\displaystyle \\frac{F_{n+1}}{F_n}$ quand $n$ tend vers $+\\infty$ ?__\n",
    "<br><br>\n",
    "<span style=\"color:red;\">\n",
    "$\\displaystyle\\lim\\limits_{n \\to +\\infty}{ \\left( \\frac{\\psi}{\\phi} \\right)^{n+2} }=0 \\;$ et $\\displaystyle\\lim\\limits_{n \\to +\\infty}{ \\left( \\frac{\\psi}{\\phi} \\right)^{n+1} }=0\\;$ donc $\\displaystyle \\lim \\limits_{n \\to +\\infty}{ \\frac{1-\\left( \\frac{\\psi}{\\phi} \\right)^{n+2}}{1-\\left( \\frac{\\psi}{\\phi} \\right)^{n+1}} }=1.$<br>\n",
    "On en déduit que $\\displaystyle\\lim\\limits_{n \\to +\\infty}{\\frac{F_{n+1}}{F_n}}=\\phi$.\n",
    "</span>"
   ]
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   "cell_type": "markdown",
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   "source": [
    "![Fibonacci](img/Leonardo_Fibonacci.jpg)\n",
    "\n",
    "<center> <a href=\"https://fr.wikipedia.org/wiki/Leonardo_Fibonacci\">Leonardo Fibonacci</a> (env. 1175 - env. 1250) est un mathématicien italien qui a donné son nom à <a href=\"https://fr.wikipedia.org/wiki/Suite_de_Fibonacci\">la suite de Fibonacci.</a></center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*(C) Copyright Franck CHEVRIER 2019-2021 http://www.python-lycee.com/*\n"
   ]
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