Recurring Decimals and Geometric Series (HSC SSCE Mathematics Advanced): Flashcards

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

$|r| < 1$

$r = 0.01$

$r = 0.001$

Infinite geometric progressions

$\frac{3}{11}$

Add them separately to the recurring part's sum

First term of the recurring part

Common ratio of the geometric series

Simplify the fraction to lowest terms