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Prove that (1-1/3+1/3^(2)-1/3^(3)+1/3^(4...

Prove that `(1-1/3+1/3^(2)-1/3^(3)+1/3^(4)-...oo)=3/4`

Text Solution

Verified by Experts

This is an infinite GP in which `a=1` and `r=(-1)/3`.
`S_(oo)=a/((1-r))=1/((1+1/3))=3/4`.
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