If in the expansion of `(1 + ax)^(n),n in `N, the coefficient of x
and `x^(2) ` are 8 and 24 respectively, then

If in the expansion of (1+ x )^(m) (1-x) ^(n) the coefficient of x and x ^(2) are 3 and (-6) respectively, then the value of n is-

If in the expansion of (1+px)^(n),n in N , the coefficial of x and x^(2) are 8 and 24, than the values of n and p are:

If three consective coefficient in the expansion of (1+x)^(n) , where n is a natural number are 36,84 and 126 respectively, then n is __________

If A and B are the coefficients of x^n in the expansion (1 + x)^(2n) and (1 + x)^(2n-1) respectively, then

If A and B are the coefficients of x^n in the expansion (1 + x)^(2n) and (1 + x)^(2n-1) respectively, then

Prove that he 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)