1. Warmup

2. 6-3b Infinite Geometric Sums
5/27/ :23 AM
6-3b Infinite Geometric Sums
Find sums of infinite geometric series.
Write repeating decimals as fractions.
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3. Vocab: Infinite Geometric Series – has an infinite number of terms.
If an infinite geometric series has a SUM, it is a convergent series. A series that has no sum is a divergent series.

5. Determine whether the infinite geometric series is convergent or divergent.

6. Let’s look at the sum of a geometric series formula again.
𝑆 𝑛 = 𝑎 1 1− 𝑟 𝑛 1−𝑟

8. Find the sum of the infinite series, if it exists.

9. Find the sum of the infinite series, if it exists.

10. Write each repeating decimal as a fraction.