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Summation by Sigma Method

Find the sum ...

Question

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

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Solution

The given series is 5² + 6² + 7² + … + 20²

n^th term, a_n = ( n + 4)² = n² + 8n + 16

16^th term is (16 + 4)² = 20²2

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