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What is the sum of this series upto infi...

What is the sum of this series upto infinite terms` -8,-4,-2,-1,-(1)/(2),"…"`

Text Solution

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Here,`a=-8`
and `r=(-4)/(-8)=(-2)/(-4)=(-1)/(-2)=((-1)/(2))/(-1)="..."=(1)/(2)`
`i.e. a=-8,r=(1)/(2)`
Increasing GP `(alt0,0ltrlt1)`
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