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, Tr+1 of binomial expansionis given by,
Tr+1 nCr xn-r yr where
nCr
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.