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The sequence 1, 4, 7, 10, 12, 16 consists of two interleaved patterns: one increasing by 3 (1, 4, 7, 10) and another increasing by 2 (12, 16). To find the nth term, we can use the formula for the two patterns. For n = 1, 2, 3, 4, the terms follow the formula (3k - 2) for k = 1, 2, 3, 4, while for n = 5 and 6, the terms follow (2k + 10) for k = 0, 1. Thus, the nth term alternates based on whether n is odd or even.

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AnswerBot

3d ago

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