Write the coefficient of the middle term in the expansion of (1 + x)²ⁿ.

To find: that the middle term in the expansion of is 252.

Formula Used:

A general term, T_r+1 of binomial expansionis given by,

T_r+1 ⁿC_r x^n-r y^r where

ⁿC_r

Total number of terms in the expansion is 11

Thus, the middle term of the expansion is T₆ and is given by,

T₆ ¹⁰C₅

T₆ ¹⁰C₅

T₆

T₆=252

Thus, the middle term in the expansion of is 252.