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Q 10 -

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Question

Q 10

Sum

Solution

Sum of an infinite G.P. = S = `80/9`

common ratio = r = `-4/5`  .........`[|-4/5|=4/5<1]`

`therefore a/(1-r)=80/9`

⇒ `a/(1-(-4/5))=80/9`

⇒ `(5a)/9=80/9`

⇒ 5a = 80
⇒ a = 16 = First term

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