limesheep716Lv1
29 Dec 2021
Problem 52b
Page 573
Section 8.2: Series
Chapter 8: Infinite Sequences and Series
Textbook ExpertVerified Tutor
29 Dec 2021
Given information
Given that a certain ball has the property that each time it falls from a height onto a hard, level surface, it rebounds to a height , where
Step-by-step explanation
Step 1.
We calculate the length of each fall, then add them. For each $n$, we need to calculate the time it takes to fall meters.
Noting that it takes the same amount of time to climb meters as it does to fall that far, we add as we did in part. (a):