Question

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

Answer 1

Correct Answer - `.^(2n)C_(n)`
Middle term `=((2n)/2 +1)th " term " = (n+1)th " term " = T_(n+1).`
Now , `T_(r+1) = .^(2n)C_(r)x^(r) rArr T_(n+1) = .^(2n)C_(n)x^(n). " It coefficient is " .^(2n)C_(n).`