Exercise 6: Series

1. Evalute the base two number .1112 using a geometric series.

2. Show that by approximating it two ways:

A) Use your calculator to sum up the first six terms
B) Use the formula for geometric series and the first six terms

3. Find the sum of (1/10)n by approximating it in the formula for six terms.

4. If a ball is dropped from a 12 foot roof and bounces two thirds as high on each successive bounce, find the total number of feet that the ball will travel, including all the bounces.

5. Stephen Hawking is reported to have said that his editor told him that in writing popular books about math and physics you lose one half your audience for every equation placed in the book. From a potential population of 12 million readers, how many readers will finish reading his book "A Brief History of Time" if there are 12 equations scattered throughout the book?