Geometric Series Answers

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

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 without producing any additional offspring. 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?

What are the values of a1 and r of the geometric series? 2 – 2 + 2 – 2 + 2

What are the values of and r of the geometric series?1 + 3 + 9 + 27 + 81

Two students start a club the first week of school. Each member invites three new members the second week of school. Each of these new members then invites three additional members the following week. If the pattern of each new member inviting three new members each week continues, how many members will be in the club after five weeks?

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?

Which fraction represents the decimal ?

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

What is the sum of the infinite geometric series?