Is It A Converging Series?
Algebra
Level
4
\[S=0.1+0.04+0.009+0.0016+\cdots\] \(S\) represents an arithmetic-geometric progression.
If \(S\) can be represented in the form \(\dfrac{a}{b}\), where \(a\) and \(b\) are coprime positive integers, find \(a+b\)
by
Arkajyoti Banerjee