Question

An eccentric math teacher told his class that he would assign one problem on the first day of school, two

problems on the second day, four problems on the third day, eight problems on the fourth day, and so on. At
this rate, how many problems would he assign on the tenth day? Find a rule that can be used to determine the
number of problems assigned on the nth day.

Answer 1

N is the day it is, so since we are trying to find the number of problems for the 10th day, n will equal 10. The quantity of problems is doubling each day, so you will create this rule:

2^n - 1

Now, to plug in the numbers:

2^10 - 1

Then we simplify:

2^9

And now we solve this equation:

2^9 = 512