SOLUTION: Michelle has a patty and invites 3 friends. Each friend invites 3 other friends. each of these friends invites 3 more friends. Finally,each of these friends invites 3 more friends.

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Question 825406: Michelle has a patty and invites 3 friends. Each friend invites 3 other friends. each of these friends invites 3 more friends. Finally,each of these friends invites 3 more friends. Each guest at the party brings 3 gifts, with 3 bows on each gift. How many bows does Michelle get at the party?
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Michelle has a patty and invites 3 friends.
Each friend invites 3 other friends.
each of these friends invites 3 more friends.
Finally,each of these friends invites 3 more friends.
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Friends = 3 + 3^2 + 3^3 + 3^4 + 3^5 = 3*(3^5-1)/(3-1) = 3(242)/2 = 363
Each guest at the party brings 3 gifts, with 3 bows on each gift. How many bows does Michelle get at the party?
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# of bows = 3*363 = 1089
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The number of guests is +3+%2B+3%2A3+%2B+3%2A3%2A3+%2B+3%2A3%2A3%2A3+
+3+%2B+3%5E2+%2B+3%5E3+%2B+3%5E4+=+3+%2B+9+%2B+27+%2B+81+
+3+%2B+9+%2B+27+%2B+81+=+120+
The number of bows that each guest brings is:
+3%2A3+=+9+
+9%2A120+=+1080+
Michelle gets 1080 bows