It is possible for some kinds of bacteria to double their size and then divide every 40

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It is possible for some kinds of bacteria to double their size and then divide every 40 minutes.

(a) Write a recursive sequence that describes this growth where each value of n represents a 40-minute interval. Let a1 = 300 represent the initial number of bacteria per milliliter. Find the first five terms. 

(b) Determine the number of bacteria per milliliter after 10 hours have elapsed. 

(c) Is this sequence arithmetic or geometric? Explain.

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