JEE Main 2020 — Binomial Theorem Question with Solution
From: JEE Main 2020 (Online) 4th September Evening Slot
Question
If for some positive integer n, the coefficients
of three consecutive terms in the binomial
expansion of (1 + x)n + 5 are in the ratio
5 : 10 : 14, then the largest coefficient in this expansion is :
of three consecutive terms in the binomial
expansion of (1 + x)n + 5 are in the ratio
5 : 10 : 14, then the largest coefficient in this expansion is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D462
Step-by-step explanation
Consider the three consecutive coefficients as
...(i)
and
...(ii)
From (i) and (ii) n = 6
Largest coefficient in the expansion is = 462
...(i)
and
...(ii)
From (i) and (ii) n = 6
Largest coefficient in the expansion is = 462
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