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Find the sum of the coefficients of inte...

Find the sum of the coefficients of integral powers of x in `(1+3sqrtx)^20`

Text Solution

Verified by Experts

The correct Answer is:
`2^39 + 2^19`
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The sum of coefficients of integral powers of x in the binomial expansion of (1-2 sqrtx)^50 is

Assertion (A) : In the (1+x)^50 , the sum of the coefficients of odd powers of x is 2^49 Reason ( R) : The sum of coefficients of odd powers of x in (1+x)^n is 2^(n-1)

Knowledge Check

  • Sum of coefficients of terms of odd powers of x in (1 - x + x^2 - x^3)^9 is

    A
    `-2^17`
    B
    `2^17`
    C
    `2^13`
    D
    `2^12`

  • The sum of the coefficients of even powers of x in the expansion of (1+x+x^2)^15 is

    A
    `(3^15 +1)/(2)`
    B
    `(2^15 + 2)/(2)`
    C
    `(3^15-1)/(2)`
    D
    none

  • The sum of the coefficients of odd powers of x in the expansion of (1+x-x^2+x^3)^5 is

    A
    510
    B
    512
    C
    521
    D
    522

    • Similar Questions

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    The sum of the coefficients of even powers of x in the expansion of (1+x+x^2+x^3)^5 is

    Find the sum of last 20 coefficients in the expansions of (1+x)^(39).

    The sum of the coefficients in the expansion of (1+x-3x^2)^(171) is

    Sum of coefficients of terms of odd powers of in (1+x - x^2 -x^3)^8 is

    The sum of the coefficient of odd powers of x in the expansion of (1+x+x^2)^15 is

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