Question

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?

Answer 1

there is going to be 242 members

Answer 2

There will be 242 members by the fifth week. If you would like an explanation of my answer, please let me know.