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JEE PYQ: Binomial Theorem Question 20

Question 20 - 2020 (03 Sep Shift 1)

If the number of integral terms in the expansion of $(3^{1/2} + 5^{1/8})^n$ is exactly 33, then the least value of $n$ is:

(1) 264 (2) 128 (3) 256 (4) 248

Show Answer

Answer: (3)

Solution

$r$ must be a multiple of 8. $n/8 + 1 = 33 \Rightarrow n = 256$.


Learning Progress: Step 20 of 55 in this series