If fourth term in the expansion of `(1-x/n)^n` equals `7/8` when `x = -2` and n is a positive integer, calculate `n`.

Write down in terms of x and n , the term containing x^3 in the expansion of (1- (x)/(n) )^(n) by the binomial theorem. if this term equals (7)/(8) when x=-2, and n is a positive integer, calculate the value of n .

If two consecutive terms in the expansion of (x+a)^n are equal to where n is a positive integer then ((n+1)a)/(x+a) is

If two consecutive terms in the expansion of (x+a)^n are equal to where n is a positive integer then ((n+1)a)/(x+a) is

If the first three terms in the expansion of (1 -ax)^n where n is a positive integer are 1,-4x and 7x^2 respectively then a =

If the first three terms in the expansion of (1 -ax)^n where n is a positive integer are 1,-4x and 7x^2 respectively then a =

Write the middle term in the expansion of : (1+x)^(2n) , where n is a positive integer.

If the fourth term in the expansion of (a x+1/x)^n is 5/2 , then find the values of a and n.

Show that the middle term in the expansion of (1+x)^(2n)i s((1. 3. 5 (2n-1)))/(n !)2^n x^n ,w h e r en is a positive integer.

Show that the middle term in the expansion of (1+x)^(2n) is 1.3.5…(2n-1)/n! 2n.x^n , where n is a positive integer.

Show that the middle term in the expansion of (1+x)^2n is 1.3.5…(2n-1)/n! 2n.x^n , where n is a positive integer.