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Find sum to n terms of the series 3+5xx1...

Find sum to n terms of the series `3+5xx1/4+7xx1/(4^2)+........`

Text Solution

Verified by Experts

The correct Answer is:
`4 + (8)/(9) (1 - (1)/(4^(n -1))) - ((2n + 1)/(3 xx 4^(n -1)))`
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Knowledge Check

  • Find the sum of n terms of the series 1+3 +7 +15 + …

    A
    `[2^n -1)-n]`
    B
    `[(2^n -1) + n]`
    C
    `[2(2^n -1)-n]`
    D
    none of these

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