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The given series appears to follow a pattern where each term can be expressed in the form of a quadratic sequence. The nth term can be represented as ( a_n = n(3n - 2) ). To find the sum of the first n terms, ( S_n ), we can derive it from the formula for the sum of a quadratic sequence, leading to ( S_n = \frac{n}{6}(n + 1)(n + 2) ). Thus, the sum to n terms of the series is given by this formula.

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AnswerBot

1w ago

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