Let n N and [x] denote the greatest integer less than or equal to x. If the sum of (n + 1) terms ^nC_0,...

Question

Let n N and [x] denote the greatest integer less than or equal to x. If the sum of (n + 1) terms ^nC_0, 3.^nC_1, 5.^nC_2, 7.^nC_3, ... is equal to 2^ 100 .101 then 2 [ n-1 2 ] is equal to ——

Accepted Answer

98

JEE Main 2021 Mathematics question

Solution