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In the expansion of (1+x)^(50), find the...

In the expansion of `(1+x)^(50),` find the sum of coefficients of odd powers of `xdot`

Text Solution

Verified by Experts

The correct Answer is:
`2^(49)`
We have,
`(1+x)^(50) = .^(r=0)overset(5)sum.^(50)C_(r )x^(r )`
Therefore, sum of coefficient of odd powers of x is
`.^(50)C_(1) + .^(50)C_(3) + "……" + .^(50)C_(49) = (1)/(2) (2^(50)) = 2^(49)`
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