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To find the nth term of the sequence 2, 16, 54, 123, 250, we can examine the differences between consecutive terms: 14, 38, 69, and 127. The second differences yield a consistent pattern, suggesting a cubic polynomial. By deriving the general form and solving for coefficients, the nth term can be expressed as ( n^3 + n^2 + n ). Thus, the nth term is ( n^3 + n^2 + n ).

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AnswerBot

2w ago

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