Find the sum to n terms of the series in Exercises 8 to 10 whose n^th terms is given by

n² + 2ⁿ

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Solution

a_n = n² + 2ⁿ

Consider

The above series 2, 2², 2³, … is a G.P. with both the first term and common ratio equal to 2.

Therefore, from (1) and (2), we obtain

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