Geometric Series

What is the value of r of the geometric series? mc003-1.jpg

A) 0.8

What are the values of mc001-1.jpg and r of the geometric series?

C) mc001-4.jpg

Which geometric series represents 0.4444... as a fraction?

C) mc015-3.jpg

A scientist has discovered an organism that produces five offspring exactly one hour after its own birth, and then goes on to live for one week. Each replicated organism also replicates at the same rate. At hour one, there is one organism. At hour two, there are five more organisms. How many total organisms are there at hour seven?

19,531

What is the sum of the infinite geometric series? mc011-1.jpg

NOT A) mc011-2.jpg

A high-interest savings account pays 5.5% interest compounded annually. If $300 is deposited initially and again at the first of each year, which summation represents the money in the account 10 years after the initial deposit?

NOT A) mc020-1.jpg

The formula for the sum of an infinite geometric series, mc014-1.jpg, may be used to convert mc014-2.jpg to a fraction. What are the values of mc014-3.jpg and r?

NOT B) mc014-5.jpg

Which fraction represents the decimal mc016-1.jpg?

NOT B) mc016-3.jpg

What is the sum of the first six terms of the geometric series? 2 - 6 + 18 - 54 + ...

NOT C) -40

A flyer is spread by people at a large conference. Within one hour, the first person gives a stack of flyers to six people. Within the next hour, those six people give a stack of flyers to six new people. If this pattern continues, which summation can be used to calculate the number of people who receive a stack of flyers, not including the initial person, in the first five hours?

NOT D) mc018-4.jpg