14. One day, Hannah starts a new online Internet club by convincing two of her friends to join. The next day, each member convinces two more people to join. The third day of the club, each member convinces two more people to join, and so on for a full week. a. Write a series that represents the number of club members at the end of n days. b. Write a series that represents the number of club members at the end of one week. c. How many members will the club have at the end of a week?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 19E
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14. One day, Hannah starts a new online Internet club by convincing
two of her friends to join. The next day, each member convinces
two more people to join. The third day of the club, each member
convinces two more people to join, and so on for a full week.
a. Write a series that represents the number of club
members at the end of n days.
b. Write a series that represents the number of club
members at the end of one week.
c. How many members will the club have at the end
of a week?
Transcribed Image Text:Solve. 14. One day, Hannah starts a new online Internet club by convincing two of her friends to join. The next day, each member convinces two more people to join. The third day of the club, each member convinces two more people to join, and so on for a full week. a. Write a series that represents the number of club members at the end of n days. b. Write a series that represents the number of club members at the end of one week. c. How many members will the club have at the end of a week?
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