If in the expansion of `(1+x)^(n),a,,b,c` are three consecutive coefficients, then n =

If the sum of the coefficients in the expansion of (1 + 2x)^(n) is 6561 , then the greatest coefficients in the expansion, is

how that the coefficient of (r+1) th in the expansion of (1+x)^(n+1) is equal to the sum of the coefficients of the r th and (r+1) th term in the expansion of (1+x)^n

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

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.

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

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

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)

Prove that he 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)

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)

If the coefficient of the middle term in the expansion of (1+x)^(2n+2)i salpha and the coefficients of middle terms in the expansion of (1+x)^(2n+1) are beta and gamma then relate alpha,betaa n dgammadot