expand the series ∑(x=0 to K) x^4.

is there a way to expand ∑(x=0 to K) x^r ; where r=1,2,3,4,5,... ...
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1 Answer

0Kxr=x0+x1+x2+x3+x4, that is, 1+x+x2+x3+x4 up to K=4. If -1<x<1 this series will converge.

The infinite series (sum) is equivalent to 1/(1-x) when -1<x<1.

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