Find the sum to n terms of each of the series in Exercises 1 to 7.

3 × 1² + 5 × 2² + 7 × 3² + …

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Solution

The given series is 3 ×1² + 5 × 2² + 7 × 3² + …

n^th term, a_n = ( 2n + 1) n² = 2n³ + n²

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