I the expansin of `(x^2+2/x)^(n)` for positive integer n has 13th term independent of x, then the sum of divisors of n is (A) 36 (B) 38 (C) 39 (D) 32

If the expansion of (x - (1)/(x^(2)))^(2n) contains a term independent of x, then n is a multiple of 2.

If the expansion of (x - (1)/(x^(2)))^(2n) contains a term independent of x, then n is a multiple of 2.

The 13^(th) term in the expanion of (x^(2)+2//x)^(n) is independent of x then the sum of the divisiors of n is

Find the term independent of x in (x+1/x)^(2n)

If the 5th term is the term independent of x in the expansion of (x^(2//3) + 1/x)^n then n =

If n is a positive integer, then the number of terms in the expansion of (x+a)^n is

Prove that the term independent of x in the expansion of (x+1/x)^(2n) \ is \ (1. 3. 5 ... (2n-1))/(n !). 2^n .

If the sum of the binomial coefficients in the expansion of (x+ 1/x)^n is 64, then the term independent of x is equal to (A) 10 (B) 20 (C) 30 (D) 40

If 6^(th) term in the expansion of ((3)/(2)+(x)/(3))^(n) is numerically greatest, when x=3 , then the sum of possible integral values of 'n' is (a) 23 (b) 24 (c) 25 (d) 26

For a positive integer n, if the expanison of (5/x^(2) + x^(4)) has a term independent of x, then n can be