5
QuizMultiple Choice

Geometric Series

Question 5 • DHS Algebra 2 V

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
A
80 students
B
121 students
C
242 students
D
363 students

Explanation

The club starts with 2 students in week 1. Each week, the newest members add three times their number: 6 in week 2, 18 in week 3, 54 in week 4, and 162 in week 5. Adding all five weeks gives 2 + 6 + 18 + 54 + 162 = 242, so the club will have 242 students.

AI-written and checked against the verified answer.

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