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The sum of (2n+1) terms of the series a-...

The sum of (2n+1) terms of the series `a-(a+d)+a(a+ad)-(a+3d)+…` is :

A

a+3nd

B

3a+nd

C

2a+3nd

D

a+nd

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The correct Answer is:
D
N/a
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Knowledge Check

  • The sum upto (2n+1) terms of the series a^(2)-(a+d)^(2)+(a+2d)^(2)-(a+3d)^(2)+… is

    A
    `a^(2)+3nd^(2)`
    B
    `a^(2)+2nad+n(n-1)d^(2)`
    C
    `a^(2)+3nad+n(n-1)d^(2)`
    D
    `(a+nd)^(2)+n(n+1)d^(2)`

  • If C_(r ) stands for ""^(n)C_(r ) , then the sum of first (n+1) terms of the series aC_(0)-(a+d)C_(1)+(a+2d) C_(2)-(a+3d)C_(3)+… is

    A
    `a//2^(n)`
    B
    na
    C
    0
    D
    none of these

  • 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
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