In the expansion of `(1+x)^n ,` 7th and 8th terms are equal. Find the value of `(7//x+6)^2` .

If in the expansion of (a-2b)^(n) , the sum of 5^(th) and 6^(th) terms is 0, then th e values of a//b =

In the expansion of (1+ x + 7/x)^11 find the term not containing x.

In the binomial coefficients of (1 + x)^(n) , the coefficients of the 5th, 6th and 7th terms are in AP Find all values of n.

Statement 1: Greatest term in the expansion of (1+x)^(12),w h e nx=11//10 is 7th Statement 2: 7th term in the expansion of (1+x)^(12) has the factor ^12 C_6 which is greatest value of ^12 C_rdot

If the 2nd, 3rd and 4th terms in the binomial expansion of (x+a)^(n) are 240, 720 and 1080 for a suitable values of x, find x, a and n.

The 2^(nd), 3^(rd) and 4^(th) terms in the binomial expansion of (x+a)^(n) are 240, 720 and 1080 for a suitable value of x. Find x, a and n.

If the middle term in the expansion of (x^2+1//x)^n is 924 x^6, then find the value of ndot