In the binomial expansion of `(1+x)^n` , coefficients of the fifth, sixth and seventh terms are in A.P. find all values of `n` for which this can happen.

In the binomial expansion of (1+x)^n , coefficients of the fifth, sixth and seventh terms are in A.P. find all the values of n for which this can happen.

In the binomial expansion of (a+b)^n , coefficients of the fourth and thirteenth terms are equal to each other. Find n .

In the binomial expansion of (1+ x)^(m+n) , prove that the coefficients of x^(m) and x^(n) are equal.

If in the expansion of (1+x)^n the coefficients of 14th, 15th and 16th terms are in A.P. then n= (A) 12 (B) 23 (C) 27 (D) 34

In the expansion of (1+x)^n the binomial coefficients of three consecutive terms are respectively 220, 495 and 792 find the value of n .

If the constant term in the binomial expansion of (x^2-1/x)^n ,n in N is 15, then find the value of n .

If the constant term in the binomial expansion of (x^2-1/x)^n ,n in N is 15, then find the value of n .

In a binomial expansion, ( x+ a)^(n) , the first three terms are 1, 56 and 1372 respectively. Find values of x and a .

If in the expansion of (1+x)^n the coefficient of three consecutive terms are 56,70 and 56, then find n and the position of the terms of these coefficients.

If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1+x)^n are in A.P., then find the value of n.