Question

if |a|,|b|<1, then find the sum of the series:-
a(a+b) + a^2(a^2+b^2) +a^3(a^3+b^3) + ........infinity.

Answer 1

Use Limiting Sums equation
\[S _{\infty}=\frac{ a }{ 1-r }\] where "a" is the first term and "r" is the common ratio.