If the coefficient of 4th term in the expansion of `(a+b)^n` is 56, then n is

If the sum of the coefficients in the expansion of (a + b)^(n) is 4096, then the greatest coefficient in the expansion is

Show that the coefficient of the middle term in the expansion of (1+x)^2n is equal to the sum of the coefficients of two middle terms in the expansion of (1 + x)^2n-1

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

If the coefficients of 5th, 6th , and 7th terms in the expansion of (1+x)^n are in A.P., then n= a. 7 only b. 14 only c. 7 or 14 d. none of these

If the 4th term in the expansion of (a x+1//x)^n is 5/2, then (a) a=1/2 b. n=8 c. a=2/3 d. n=6

If n is an odd positive integer, prove that the coefficients of the middle terms in the expansion of (x+y)^n are equal.

If the sum of the coefficients in the expansion of (1 -3x + 10x^2)^(n) is a and the sum of the coefficients in the expansion of (1 - x^(2))^(n) is b , then

Prove that the coefficient of x^n in the expansion of (1+x)^2n is twice the coefficient of x^n in the expansion of (1+x)^2n-1 .