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Find the sum of each of the following infinite series : `sqrt(2)-1/sqrt(2)+1/(2sqrt(2))-1/(4sqrt(2))+...oo`

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Find the sum of each of the following infinite series :
`sqrt(2)-1/sqrt(2)+1/(2sqrt(2))-1/(4sqrt(2))+...oo`
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Correct Answer - `(2sqrt(2))/3`
`a=sqrt(2) and r=(-1)/sqrt(2)xx1/sqrt(2)=(-1)/2`.
`:. S=a/((1-r))=sqrt(2)/((1+1/2))=(2sqrt(2))/3`.
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