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Were asked to find the closed formula for each of the following sequences by relating them to a well-known sequence shown below. Assume the first term given is a sub 1. For a, we have 3 6 11 18 27 38, and so on. We want to begin by analyzing the common sequences below and see which one the given sequence resembles. One thing we can do to help recognize which sequence it resembles is to see how the terms increase. Notice 3 plus 3 is equal to 6. 6 plus 5 is equal to 11. 11 plus 7 is equal to 18. 18 plus 9 is equal to 27, and so on. If we can find a common sequence below, in which the terms increase in the same way, itll help us determine the closed formula. Analyzing the sequences here on the left, lets focus on the square numbers. Notice 1 plus 3 is 4, 4 plus 5 is 9, 9 plus 7 is 16, 16 plus 9 is 25, and so on, which means our sequence does resemble the square numbers given by a sub n equals n squared. But notice all the terms in our sequence are two