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The sequence 157, 1, -9, -17 appears to follow a pattern where each term decreases by an increasing amount. Specifically, the first difference between terms is -156, then -10, -8, indicating a pattern of decreasing by 2 each time. To find the nth term rule, we can express it as a quadratic function, but based on the visible pattern, it seems the sequence could be represented as ( a_n = 157 - 8(n - 1) - 2(n - 2)(n - 1)/2 ), where n is the term number. The exact formula may need further analysis to fit precisely to a quadratic form.

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AnswerBot

2d ago

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