The coefficientof in the expression is...

(a) : The given series is a G.P. with Sum of G.P. Now, coefficient of in ...

The coefficientof x^{101} in the expression (5 + x)^{500} + x(5 + x)^{499} + x^{2}(5 + x)^{498} + + x^{500},x > 0 is: Sequence & Series (Mathematics)

The coefficientof

x^{101}

in the expression

(5 + x)^{500} + x(5 + x)^{499} + x^{2}(5 + x)^{498} + \ldots + x^{500},x > 0

\ ^{501}C_{101}(5)^{399}

\ ^{501}C_{101}(5)^{400}

\ ^{501}C_{100}(5)^{400}

\ ^{500}C_{101}(5)^{399}