SOLUTION: I'm very confused on this problem. Will someone please help me and show all work. Thanks 1. Suppose you go to a company that pays 0.02 for the first day, 0.04 for the second day

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Question 1024767: I'm very confused on this problem. Will someone please help me and show all work. Thanks
1. Suppose you go to a company that pays 0.02 for the first day, 0.04 for the second day, 0.08 for the third day and so on. If the daily wage keeps doubling, what will your total income be for working 31 days ?
Total Income =

2. Determine the seating capacity of an auditorium with 40 rows of seats if there are 15 seats in the first row, 17 seats in the second row, 19 seats in the third row, 21 seats in the forth row, and so on.
Total number of seats =

Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.
1. Suppose you go to a company that pays 0.02 for the first day, 0.04 for the second day, 0.08 for the third day and so on.
If the daily wage keeps doubling, what will your total income be for working 31 days ?
Total Income =

Total Income = The sum of the first 31 terms of the geometric progression with the first term 0.02 and the common ratio 2.

Apply the corresponding formula. See the lesson Geometric progressions in this site.


2. Determine the seating capacity of an auditorium with 40 rows of seats if there are 15 seats in the first row,
17 seats in the second row, 19 seats in the third row, 21 seats in the forth row, and so on.
Total number of seats =

Total number of seats =  The sum of the first 40 terms of the arithmetic  progression with the first term 15 and the common difference 2.

Apply the corresponding formula. See the lesson Arithmetic progressions in this site.


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