If `6^(th)` term in the expansion of `((3)/(2)+(x)/(3))^(n)` is numerically greatest, when `x=3`, then the sum of possible integral values of `'n'` is

The 13^(th) term in the expansion of (x^(2) + (2)/(x))^(n) is independent of x , then the sum of the divisors of n is

Determine : the 11th term in the expansion of ((x)/(2)-3y)^(n) .

The greatest term in the expansion of (1+x)^(10) when x=(2)/(3) is

In the expansion of (1/2 + 2x/3)^n when x=-1/2 ,it is known that 3^(rd) term is the greatest term Find the possible integral values of n .

In the expansion of (1/2 + 2x/3)^n when x=-1/2 ,it is known that 3^(rd) term is the greatest term Find the possible integral values of n .

If only the 4^("th") term in the expansion of (2+(3pi)/(8))^(10) has the greatest numerical value, then the integral values of x are

If the k^(th) term in the expansion of (3/2 x^(2)- (1)/(3x))^(6) is independent of x , then the numerically greatest term in the expansion of (3/2 x^(2)- (1)/(3x))^(k) when x=2/3 , is

The greatest term in the expansion of (1+x)^(10) when x=2/3 is