NTA Abhyas JEE Main2020MathematicsBinomial TheoremPractice

The greatest term in the expansion of 3 + 2 x 51 , where x = 1 5 , is

Options

A5 t h term
B6 t h term
C7 t h term
D9 t h term

Correct answer

C. 7 t h term

Step-by-step solution

The greatest term in the expansion of x + y n is the [ k ] + 1 t h term, if k ∉ Z , where k = n + 1 y x + y , ⋅ is G I F Here, k = 51 + 1 2 x 3 + 2 x = 52 2 5 3 + 2 5 = 104 15 + 2 = 6 Thus, 7 t h term is the greatest term.

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