Binomial Theorem And Its Simple Applications Question 168
Question: The middle term in the expansion of $ {{(1+x)}^{2n}} $ is
[Pb. CET 1998]
Options:
A) $ \frac{1.3.5….(5n-1)}{n!}x^{n} $
B) $ \frac{2.4.6….2n}{n!}{x^{2n+1}} $
C) $ \frac{1.3.5….(2n-1)}{n!}x^{n} $
D) $ \frac{1.3.5….(2n-1)}{n!}2^{n}x^{n} $
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Answer:
Correct Answer: D
Solution:
- Middle term of $ {{(1+x)}^{2n}} $ is $ {T_{n+1}}={{,}^{2n}}C_{n}x^{n} $
$ =\frac{(2n)!}{n!n!}x^{n}=\frac{1.3.5….(2n-1)}{n!}2^{n}x^{n} $ .
BETA
