The index 'n' of the binomial `(x/5+2/5)^n` if the only `9^(th)` term of the expansion has numerically the greatest coefficient `(n in N)`, is

Show that if the greatest term in the expansion of (1+x)^(2n) has also the greatest coefficient then x lies between n/n+1 and n+1/n

The interval in which x must lie so that greatest term in the expansion of (1+x)^(2n) has the greatest coefficient is

If the coefficient of pth term in the expansion of (1+x)^n is p and the coefficient of (p+1)th term is q then n=

The ratio of three consecutive terms in expansion of (1+x)^(n+5) is 5:10:14 , then greatest coefficient is

If the coefficient of the 5^(th) term be the numerically the greatest coefficient in the expansion of (1-x)^(n), then the positiveintegral value of n is

If the coefficient of the 5^(th) term be the numerically the greatest coefficient in the expansion of (1-x)^n , then the positiveintegral value of n is

If the coefficient of p^(th) term in the expansion of (1+x)^(n) is p and the coefficient of (p+1)^(th) term is q then n=

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

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