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 the middle term of the expansion of (1+x)^(2n) is the greatest term then prove that x lies between (n)/(n+ 1)" and " (n+ 1)/(n)

The greatest coefficient in the expansion of (1+x)^(2n) is

If the middle term in the expansion of (1+x)^(2n) is the greatest term, then x lies in the interval

If the sum of the coefficients in the expansion of (1 + 2x)^(n) is 6561 , then the greatest coefficients in the expansion, is

Write the coefficient of the middle term in the expansion of (1+x)^(2n) .

If the greatest term in the expansion of (1+x)^2n has the greatest coefficient if and only if xepsilon(10/11, 11/10) and the fourth term in the expansion of (kx+ 1/x)^m is n/4 then find the value off mk.

The middle term in the expansion of (1 - (1)/(x))^(n) (1 - x)^(n) is

Show that the coefficient of the middle term in the expansion of (1 + x)^(2n) is the sum of the coefficients of two middle terms in the expansion of (1 + x)^(2n-1) .

prove that the coefficient of x^n in the expansion of (1+x)^(2n) is twice the coefficient of x^n in the expansion of (1+x)^(2n-1)

Prove that the coefficient of x^n in the expansion of (1+x)^(2n) is twice the coefficient of x^n in the expansion of (1+x)^(2n-1)