AlgebraLab

Geometric Sequences and Series: Applications

By C Gulliksen

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.

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

MondayTuesdayWednesdayThursdayFriday
.01    

Write an equation to model the growth of your salary.

Directions and/or Common Information:

Use your equation to find the money you earned on the indicated day of employment.

5th day

20th day

44th day

The end of the 8th week

The end of the 20th week

The end of the 32nd week

The end of the first year

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

Write in Sigma Notation.

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

20 days

64 days

The end of 8 weeks

The end of 20 weeks

The end of 32 weeks

The end of one year