Math 350 Sections 3 & 4, Spring 2007
Do the following to be prepared for class on Thursday, February 15
Homework Assignment #9, Due Tuesday February 20
1. Suppose your boss made the following deal with you. For your first month of work I
will pay you 3 cents. The next month I will pay you ten times that amount. Then, the
month after that I will again pay you ten times as much as the month before, and so
on.
A. How much money would you earn during each of your first four months of work?
(Show work)
B. How much money would you earn after one year of working, i.e. what would be your
pay check for the 12th month of work? (Show work)
C. Determine a general rule (closed formula thinking) that can be used to determine
your pay check for any month.
2. Humans have long been fascinated by number patterns. The ancient Greeks thought
of numbers as quantities made up of units which they often drew as dots. In addition,
they were interested in geometry, so it was natural for them to “see” numbers in
geometric shapes. These geometric configurations of dots are often referred to as
either polygonal numbers or figurate numbers.
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A. The rectangular numbers are illustrated below:
● ● ● ● ●
● ● ● ● ● ● ● ● ●
● ● ● ● ● ● ● ● ● ● ● ●
● ● ● ● ● ● ● ● ● ● ● ● ● ●
2 6 12 20
i) Determine the next three rectangular numbers. (Show work)
ii) Determine the 100th rectangular number. What is the general rule (closed formula
thinking) that you used? (Show work)
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