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Geometric Sequences and Series: Applications

Suppose you went to work for a company that offered to pay you one penny the first day and each day you worked your salary would double.  Your work schedule will be 5 days a week for 50 weeks out of a year.

General Questions


Fill out the chart to represent your daily salary for the first week you work.

MondayTuesdayWednesdayThursdayFriday
.01    
    
1. 





Write an equation to model the growth of your salary.
2. 




Question Group #2
Directions and/or Common Information: Use your equation to find the money you earned on the indicated day of employment.


5th day
1. 





20th day
2. 





44th day
3. 





The end of the 8th week
4. 





The end of the 20th week
5. 





The end of the 32nd week
6. 





The end of the first year
7. 





Write an equation to model the series formed by the sequence.
8. 





Write in Sigma Notation.
9. 




Question Group #3
Directions and/or Common Information: If you save every cent of money you have earned from this job, find the amount of money you would accumulate after each of the following.


5 days
1. 





20 days
2. 





64 days
3. 





The end of 8 weeks
4. 





The end of 20 weeks
5. 





The end of 32 weeks
6. 





The end of one year
7. 








C Gulliksen

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