The sum of the coefficients of the first 10 terms in the expansion of `(1-x)^(-3)` is

Show that the sum of the coefficient of first (r+1) terms in the expansions of (1-x)^(-n) is ((n+1)(n+2)...(n+r))/(r!)

The sum of the coefficients of the first three terms in the expansion of (x-(3)/(x^(2)))^(m),x!=0 m being a natural number,is 559. Find the term of the expansion containing x^(3)

The sum of the coefficients of the first three terms in the expansion of (x - 3/x^(2))^(n)x != 0 ,m being a natural number, is 559. Find the term of the expansion containing x^(3) .

The sum of the coefficients of the first three terms in the expansion of (x-3/(x^2))^m , x != 0. m being a natural number, is 559. Find the term of the expansion containing x^3 .

The sum of the coefficients of the first three terms in the expansion of (x-3/(x^2))^m , x ≠ 0. m being a natural number, is 559. Find the term of the expansion containing x^3 .

The sum of the coefficients of the first three terms in the expansion of (x-3/(x^2))^m ,x!=0, m being a natural number, is 559. Find the term of the expansion containing x^3 .

The sum of the coefficients of the first three terms in the expansion of (x-3/(x^2))^m , x != 0. m being a natural number, is 559. Find the term of the expansion containing x^3 .

prove that the coefficient of the (r +1)th term in the expansion of (1+x)^(n) is equal to the sum of the coefficients of the rth and (r+1)th terms in the expansion of (1+x)^(n-1)