If there were 200 students who passed an English course three years ago, and each subsequent year until the current one that number increased by 50% of the previous year's number, how many students will pass the course this year? Give me reasons, before answering the question
We begin 3 years ago with 200 students, and moving forward to two years ago we find there were 200 * 1.5 = 300 students who passed. At the end of the subsequent year 50% more students pass than last year's 300, so that means 300 * 1.5 = 450 students pass. At the end of the current year there's another 50% increase over the previous year, meaning we have 450 * 1.5 = 675 students pass. So the final answer is 675.