Find the `r^th` term from the end in the expansion of `(x + a)^n`.

Ratio of the 5^(th) term from the beginning to the 5^(th) term from the end in the binomial expansion of (2^(1//3)+(1)/(2(3)^(1//3)))^(10) is

Find n , if the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of (root(4)2 +1/(root(4)3 ))^n is sqrt(6): 1.

Find the 4^th term in the expansion of (x-2y)^12 .

Find the term independent of x in the expansion of (x^(2) - 1/x)^(7)

Find the 13^(th) term in the expansion of (9x - 1/(3sqrt(x)))^(18) , x != 0 .

Find the constant term in the expansion of (x-1//x)^6dot

r and n are positive integers r gt 1 , n gt 2 and coefficient of (r + 2)^(th) term and 3r^(th) term in the expansion of (1 + x)^(2n) are equal, then n equals

If the coefficients of the r^(th) term and the (r + 1)^(th) term in the expansion of (1 + x)^(20) are in the ratio 1:2 , then r is equal to