Assignment task: Suppose a new mutant bacteria is able to double ever 10 minutes. You are infected with 1 of these mutant bacteria.
a) How many bacterial are there in 1 hour? By what factor did the number of bacteria increase?
b) Write out a recursive equation for this problem. Your time interval should be in hours. Use your recursion to find the number of bacteria in 1 and 2 hours.
c) Now treat this not as a recursion, but as a general sequence, what is the solution to the sequence? (aka write out a formula for the number of bacteria in you after n hours).
d) Use your answer to part c) to determine the number of bacteria in you in 2 and 3 hours.
e) At what time will there be 16777216 bacteria in your system? (You may use online tools to answer this question, approximate answers are fine)