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7 votes
7 votes
A game show is offering a prize of 1 cent on the first day , 3 cents on the second day 9 cents on the third day , etc. What is the total amount of money earned from this prize in two weeks ?

User Nikola Nikolov
by
3.0k points

2 Answers

17 votes
17 votes

Answer:

2,391,4.84 dollars

Explanation:

1, 3 , 9...

on the 1st day, 3^0

on the 2nd day, 3^1

on the 3rd day, 3²

:

one the 14th day, 3^(14-1)

=> 3^13

=> 1,594,323

"Total about of money" => have to add up the money from the 1st day to the 14th day:

1 + 3 + 9 + 27 + 81 + 243 + 729 + 2187 + 6561 + 19683 + 59049 + 177147 + 531441 + 1594323 = 2,391,484

User Mcdon
by
3.0k points
24 votes
24 votes

Answer:

$15943.23

Explanation:

each day the total of the day before is multiplied by 3 so if you do that for 14 days you will get the answer

User BlueBadger
by
3.4k points