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State which of the following is true ?...

State which of the following is true ?

A

the expansion of `(a+x)^(n)` , alaways positive

B

If `xgt0,ygt0` , then the 7th term in the expansion of `(x-2y)^(15)` in negative .

C

If n is positive integer , then `.^(n)C_(1)+^(n)C_(2)+.......+^(n)C_(n)=2^(n)`

D

In the expansion of `(1+x)^(n)` , the sum of the coefficients of the terms in even positions is `2^(n-1)` .

Text Solution

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The correct Answer is:
D
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