[" Find the index "n" of the binomial "((x)/(5)+(2)/(5))^(n)" if "],[" the "9" th term of the expansion has numerically "],[" the greatest coefficient "(n in N)" ."]

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

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)

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)

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)

If sum of the coefficients in the expansion of (1+3x)^(n) is 4096, find n and the greatest coefficient in the expansion.

In the expansion of (3^(-(x)/(4))+3^((5x)/(4)))^(n) the sum of the binomial coefficients is 256 and four xx the term with greatest binomial coefficient exceeds the square of the third coefficient then find 4x.

If the 5th term of the expansion of (x^(2//3)+x^-1)^n is the term independet of x,then find th value of n.

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=