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.

 Monday Tuesday Wednesday Thursday Friday .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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