Summation this Summer!
Algebra
Level
3
\[\large \dfrac{1}{(1+x)(1+2x)}+\dfrac{1}{(1+2x)(1+3x)}+\dfrac{1}{(1+3x)(1+4x)} + \cdots \]
Find the closed form of the sum of the series above up to \(n\) terms.
by
Rudraksh Shukla