1. 12.4: Infinite Geometric Series

2. What is the pattern? What are the next three terms? What’s going on with the “…”? Infinite Geometric Series: Notation: S 4 versus S

3. Can this be done? Shouldn’t the sum be infinite? 1 unit

4. In order for an infinite sum to exist, each term must be smaller than the term before…

5. List the first 3 terms of the series. Then use appropriate formulas to evaluate its sum (do not list all its terms!)

7. Write 0.5727272… as a fraction in lowest terms.

8. Write 3.1242424… as a fraction in lowest terms.

9. Have it clear!

10. A pendulum that is released to swing freely travels 18 inches on the first swing (see drawing.) On each successive swing, the pendulum travels 80% of the distance of the previous swing. Assuming the pendulum continues to swing forever, what is the total distance travel by the pendulum?