Question

The greatest term in expansion of (3 + 2x)⁵⁰ is _____ ; where x = 1/5

Answer 1

Correct option: (b) ⁵⁰C₆3⁴⁴ (2/5)⁶

Explanation:

given: (3 + 2x)⁵⁰ and x = (1/5)

Let k = [{(50 + 1) (2x)} / (3 + 2x)] = [{(51) (2/5)} / {(17 / 5)}] = 6

∴  k = 6

as k is integer, there are 2 greatest terms i.e. 6^th & 7^th term

∴   T₇ = ⁵⁰C₆ ∙ 3⁴⁴ (2/5)⁶