Series (Edexcel A-Level Further Mathematics): Flashcards

Technique for summing series using telescoping property

Many terms cancel out in a series

Break general term into form that can telescope

$\frac{1}{r} - \frac{1}{r+1}$

$1 - \frac{1}{n+1}$

$\frac{1}{2}\left(\frac{1}{r} - \frac{1}{r+2}\right)$

$\frac{1}{k}\left(\frac{1}{r} - \frac{1}{r+k}\right)$

First and last non-cancelled terms

Incorrect partial fraction decomposition

Omitting the last non-cancelled terms