Geometric Sequences & Series (AQA A-Level Mathematics): Flashcards

Sum approaches infinity as $n \to \infty$

Sum approaches a finite limit as $n \to \infty$

$S_{\infty} = \frac{a}{1-r}$

$|r| < 1$

$r^n \to 0$

Diverges

$1$

$-1 < r < 1$

Sum to infinity of a geometric series

$9$