Binomial Theorem And Its Simple Applications Question 151

Question: In the expansion of $ {{(1+x)}^{n}} $ the sum of coefficients of odd powers of x is

[MP PET 1986, 93, 2003]

Options:

A) $ 2^{n}+1 $

B) $ 2^{n}-1 $

C) $ 2^{n} $

D) $ {2^{n-1}} $

Show Answer

Answer:

Correct Answer: D

Solution:

  • Sum of the coefficient of odd powers of x $ =C_1+C_3+C_5+….={2^{n-1}} $