Amanda wants to host a party. She invites 3 friends and tells them to invite 3 of their friends. The 3 friends do invite three others and ask each to invite 3 more people. This invitation process goes on for 5 generations of invitations. Including herself, how many people can Amanda expect at her party?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Amanda wants to host a party. She invites 3 friends and tells them to invite 3 of their friends. The 3 friends do invite three others and ask each to invite 3 more people. This invitation process goes on for 5 generations of invitations. Including herself, how many people can Amanda expect at her party?
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