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

Question

The greatest term in the expansion of 3 + 2 x 51 , where x = 1 5 , is, 5 t h term, 6 t h term, 7 t h term, 9 t h term

MARKS App · Accepted Answer

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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