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If the value of C(0)+2C(1)+3C(2)+ . . .+...

If the value of `C_(0)+2C_(1)+3C_(2)+ . . .+(n+1)C_(n)=576`, then n is

A

7

B

5

C

6

D

9

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If the value of C_(0) + 2.C_(1) +3.C_(2) +…+ (n+1).C_(n) = 576 , then n is

    A
    7
    B
    5
    C
    6
    D
    9

  • The value of C_(1)+4C_(2)+7C_(3)+ . . .+(3n-2)C_(n) is

    A
    `(3n-4)^(2n+1)`
    B
    `(3n-4)2^(n-1)+2`
    C
    `(3n-4)2^(n)`
    D
    `(3n-4)2^(n-1)+1`

  • The value of C_(0)+3C_(1)+5C_(2)+7C_(3)+ . . .+(2n+1)C_(n) is:

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

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