SOLUTION: A disease spread to infect fewer people over time. The total number of people infected was modeled by the following geometric series. 100+60+36+108/5+324/25+... What is the tota

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Question 1032559: A disease spread to infect fewer people over time. The total number of people infected was modeled by the following geometric series. 100+60+36+108/5+324/25+... What is the total number of people infected in the outbreak?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
An infinite geometric series is summed by the formula
S+=+a%5B1%5D%2F%281-r%29
Here, a%5B1%5D+=+100 and
r = 3/5, so we have
S+=+100%2F%281-3%2F5%29+=+100%2F%282%2F5%29+=+250 people