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Let S denotes the infinite sum 2 + 5...

Let S denotes the infinite sum
` 2 + 5x + 9x^(2) + 14x^(3) + 2x^(4) + …`
where ` |x| lt 1 ` . Then S equals

A

`(2-x)/((1 - x)^(3))`

B

`(2-x)/(( 1 + x)^(3))`

C

`(2 + x)/((1 - x)^(3))`

D

`(2 + x)/((1 + x)^(3))`

Text Solution

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