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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?

 

386

 

415

 

483

 

504

 Mar 21, 2019
 #1
avatar+102320 
+2

We have a geometric series......the sum of the first 6 terms is

 

first term [ 1 - common ratio^n ] / [ 1 - common ratio  ]       

 

Where n  = 6   and the common ratio  =  2

 

So  we have

 

8 [ 1 -  2^6] / [ 1 - 2 ]  =

 

8 [ -63] / -1  =

 

8 * 63  =

 

504 

 

 

cool cool cool

 Mar 21, 2019

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