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17-12-2016
Mathematics

Answered

Find the 11th partial sum of the summation of negative 7i plus 22, from i equals 1 to infinity.

∞

∑ -7+22?

i=1

Verified Answer :

17-12-2016

I think you mean,

\(\sum_{i=1}^{\infty}(7i+22)\)

You can use the usual formula,

\(S_{k}=\frac{k}{2}(a_1+a_k)\)

That in this case is,

\(S_{11}=\frac{11}{2}(29+99)=704\)

Where I have used,

\(a_k=7\cdot k +22\)

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