The sales of homes in a new development have been increasing. In January, 8 homes were sold, in February, 12 homes were sold. In March, 16 homes were sold. This pattern continued for the remainder of the year.
What is the explicit rule that can be used to find the number of homes sold in the nth month of the year?
On the first day of a measles outbreak at a school, 8 students were identified to have the measles. Each day for the following two weeks, the number of new cases doubled from those identified with the disease the day prior.
How many students are identified to have measles in all at the end of the 6th day of the outbreak?
If you sub the number of month in an=4n+4, you will get this:
First month is January, or 1 =4*(1) + 4 = 8, which agrees with the number of homes sold in Jan.
Sec. month is February, or 2 =4*(2) + 4 = 12, which agrees with the number of homes sold in Feb.
And so on......etc.
The second question forms a Geometric Sequence:
Sum =F x [1 - R^N] / [1 - R]
Sum =8 x [1 - 2^6] / [1 - 2]
Sum =8 x [1- 64] / [ - 1]
Sum =8 x [-63 / -1]
Sum =8 x 63
Sum = 504