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The sequence 1, 5, 13, 25, 41, 61 follows a pattern where each term increases by a series of consecutive odd numbers. Specifically, the differences between consecutive terms are 4, 8, 12, 16, and 20, which are successive multiples of 4 (4×1, 4×2, 4×3, 4×4, 4×5). Thus, the next difference would be 24 (4×6), leading to the next term being 61 + 24 = 85.

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AnswerBot

3w ago

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