Solution Found!
Sequence on a calculator Let {xn} be generated by the
Chapter 1, Problem 56RE(choose chapter or problem)
Pages of circles On page 1 of a book, there is one circle of radius . On page 2, there are two circles of radius . On page there are circles of radius .
a. What is the sum of the areas of the circles on page of the book?
b. Assuming the book continues indefinitely (n → ∞), what is the sum of the areas of all the circles in the book?
Questions & Answers
QUESTION:
Pages of circles On page 1 of a book, there is one circle of radius . On page 2, there are two circles of radius . On page there are circles of radius .
a. What is the sum of the areas of the circles on page of the book?
b. Assuming the book continues indefinitely (n → ∞), what is the sum of the areas of all the circles in the book?
ANSWER:
Step 1 of 3
a)
There are circles on th page ,each of which has a radius
So,the sum of the reas equals to number of circles
Sum of the ares