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

An infinite geometric progression

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

$r = 0.01$

$r = 0.001$

$|r| < 1$

By multiplying by the common ratio

$a = 0.27$

Kept separate and added afterwards

$\frac{3}{11}$

Simplify to lowest terms