SOLUTION: After 1 day, a colony of 50 bacteria reproduces to become 200 bacteria. After 2 days, they reproduce to become 800 bacteria. If they continue to reproduce at this rate, how many ba

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Question 731653: After 1 day, a colony of 50 bacteria reproduces to become 200 bacteria. After 2 days, they reproduce to become 800 bacteria. If they continue to reproduce at this rate, how many bacteria will be present after 4 days?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the pattern. What happens? Each day the population is multiplied by 4. See a geometric sequence?
a%5B0%5D=50
a%5B1%5D=50%2A4=200
a%5B2%5D=50%2A4%2A4=800
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a%5Bn%5D=50%2A4%5En