# Infinite geometric series

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##### Intros

##### Examples

###### Lessons

**Using the common ratio to determine whether a sum to infinity exists**

For each geometric series determine the:

i) common ratio.

ii) sum of the first 10 terms.

iii) sum to infinity.

**Expressing a repeating decimal as an infinite geometric series**

For the repeating decimal:

i) express it as an infinite geometric series.

ii) write it as a fraction by evaluating the sum of the infinite geometric series.