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The sum of series 3*""^(2007)C(0)-8*""^...

The sum of series `3*""^(2007)C_(0)-8*""^(2007)C_(1)+13*""^(2007)C_(2)-18*""^(2007)C_(3)+……` upto 2008 terms is K, then K is :

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Find the sum 3^(n)C_(0)-8^(n)C_(1)+13^(n)C_(2)xx^(n)C_(3)+...

The sum of the series 3*C_(0)+11*C_(1)+19*C_(2)+27*C_(3)+...+(8n+3)*C_(n) is

Knowledge Check

  • The value of the sum of the series 3.""^(n)C_(0)-8" "^(n)C_(1)+13" "^(n)C_(2)-18" "^(n)C_(3)+ …….. upto (n+1) terms is

    A
    0
    B
    `3^(n)`
    C
    `5^(n)`
    D
    none of these

  • The sum 3 .^(n)C_(0)-8.^(n)C_(1)+13 .^(n)C_(2)-18xx.^(n)C_(3)+.... is less than

    A
    1
    B
    3
    C
    4
    D
    5

  • The sum to (n+1) terms of the series (C_(0))/(2)-(C_(1))/(3)+(C_(2))/(4)-(C_(3))/(5)+… is

    A
    `(1)/(n+1)`
    B
    `(1)/(n+2)`
    C
    `(1)/(n(n+1))`
    D
    none of these

    • Similar Questions

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    The sum to (n+1) terms of the series (C_(0))/(2)-(C_(1))/(3)+(C_(2))/(4)-(C_(3))/(5)+......=

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