Summation and Riemman's sum question?

Find the value of the sum.

n

summation of ∑ (5 + 6i)^2

i=1

answer + justification, auto 10 points

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  • 8 years ago
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    I don't quite see what you're doing with Riemann's Sum here but the series summation you request goes like this:

    (5 + 6i)² = 25+60i + 36i² so the summation:

    ∑ = 25 + 60.∑i + 36.∑i² from i = 1 to n

    = 25 + 60 ͯ n ͯ (1+n)/2 + 36 ͯ n ͯ (n+1) ͯ (2n+1)/6

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