State recurrence relation to find amount of bacteria colony


Assume that experimental drug kills 2% of the bacteria colony every hour.

i) State the recurrence relation to represent amount of bacteria colony remaining after n hours.

b. Determine the explicit formula for number of bacteria remaining in colony after n hours.

c. If colony initially has 4,000,000 of bacteria when drug is administered, how many are left 3 hours later?

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Mathematics: State recurrence relation to find amount of bacteria colony
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