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Find the sum of the infinite series, 1...

Find the sum of the infinite series,
`1+(1+1/5)(1/2)+(1+1/5+1/5^(2))(1/2^(2))+..`

A

`root(3)(3)`

B

`root(4)(4)`

C

`root(4)(8)`

D

`root(3)(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • What is the sum of the infinite geometric series 2+(-(1)/(2))+((1)/(8))+(-(1)/(32))+… ?

    A
    `1(3)/(8)`
    B
    `1(2)/(5)`
    C
    `1(1)/(2)`
    D
    `1(3)/(5)`

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