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Q 1.4 -

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Question

Q 1.4

Sum

Solution

Given G.P. : `sqrt2-1/sqrt2 + 1/(2sqrt2) + 1/(4sqrt2) +`........
Here,
first terms, a = `sqrt2`

common ratio, r =`(-1/sqrt2)/sqrt2=-1/2 (|r| = |-1/2|=1/2<1)`

∴ Required sum =`a/(1-r)=sqrt2/(1-(-1/2))=sqrt2/(1+1/2)=(2sqrt2)/3`

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Geometric Progression - Finding Sum of Their First ‘N’ Terms
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