Binomial Theorem And Its Simple Applications Question 42
Question: The largest term in the expansion of $ {{(3+2x)}^{50}} $ where $ x=\frac{1}{5} $ is
[IIT Screening 1993]
Options:
A) 5th
B) 51st
C) 7th
D) 6th
Show Answer
Answer:
Correct Answer: C
Solution:
- $ 3^{50}{{( 1+\frac{2x}{3} )}^{50}} $
$ \therefore ,\frac{{T_{r+1}}}{T_{r}}\ge 1,\Rightarrow 102-2r\ge 15r\Rightarrow r\le 6 $
BETA
