Question

On the first day of 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 day (10 )of the
outbreak?

Answer 1

The sum a geometric sequence is:

`S_n=(a_1(1-r^n))/(1-r) \ \text{where} \ a_1 \ \text{is the first term and r is the ratio}`

In the given problem,
`a_1=10` and
`r = 2`

`S_(10)=(8(1-2^(10)))/(1-2)`

`. \ \ \ \ =(8(1-1024))/(-1)`

`. \ \ \ \ =-8(-1023)`

`. \ \ \ \ \bold{=8184}`