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Find the coefficient of x^(5) in the e...

Find the coefficient of `x^(5)` in the expansion of `(1+2x +3x^(2) + cdots )^(-(3)/(2))` ?

A

21

B

25

C

26

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The coefficient of x^(5) in the expansion of (2-x+3x^(2))^(6) is

    A
    `-4692`
    B
    4692
    C
    2346
    D
    -`5052`

  • The coefficient of x^(3) in the expansion of (1-x+x^(2))^(5) is

    A
    `-20`
    B
    `-30`
    C
    `-50`
    D
    10

  • Find the coefficient of x^6 y^3 in the expansion of (x+2y) .

    A
    972
    B
    `""^(9) C_3 2^3`
    C
    `""^(9) C_3`
    D
    `152`

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    Find the coefficients of x^(4) in the expansions of (2 - x + 3x^(2) )^(6) .

    Find the coefficient of x^5 in the expansion of ((2x)/3-3/(2x)) ^5

    Find the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^6

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