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}} $
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Answer:
Correct Answer: D
Solution:
- Sum of the coefficient of odd powers of x $ =C_1+C_3+C_5+….={2^{n-1}} $