`(2+x/3)^n` if the coefficient of `x^7 and x^8` is same then find value of n

In the expansion of (3+x/2)^(n) the coefficients of x^(7) and x^(8) are equal, then the value of n is equal to

In the expansion of (x^(3)-(1)/(x^(2)))^(n),n in N if sum of the coefficients of x^(5) and x^(10) is 0 then n is

If the mean of 2,3, x ,7 ,8 is x, then find the value of x .

If the coefficient of x^7 in (x^2+1/(bx))^11 is equal to coefficient at x^-7 in (x+1/(bx^2))^11 Then find value of b

If in the expansion of (1 +x)^(m) (1 - x)^(n) , the coefficients of x and x^(2) are 3 and - 6 respectively, the value of m and n are

Prove that in the expansion of (1+x)^(2n) , the coefficient of x^n is double the coefficient of x^n in the expansion of frac{(1+2x+x^2)^n}{1+x}

If the coefficients of x^(7) and x^(8) in the expansion of [2+(x)/(3)]^(n) are equal,then the value of n is :(A)15(B)45(C)55(D)56