Pages of circles On page 1 of a book, there is one circle
Chapter 1, Problem 55RE(choose chapter or problem)
Pages of circles On page 1 of a book, there is one circle of radius 1. On page 2, there are two circles of radius \(\frac{1}{2}\). On page n there are \(2^{n-1}\) circles of radius \(2^{-n+1}\).
a. What is the sum of the areas of the circles on page n of the book?
b. Assuming the book continues indefinitely \((n \rightarrow \infty)\), what is the sum of the areas of all the circles in the book?
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer