Question

A bacteria culture begins with 8 bacteria which triple in size every week. How many bacteria exist in the culture after 4 weeks?

Answer 1

At t0 = 0 ----------> no = 8

At t1 = 1 week ----------> n1 = 8 • 3 = 24 bacteria

At t2 = 2 weeks ----------> n2 = 8 • 3^2 = 72 bacteria

At t3 = 3 weeks ----------> n3 = 8 • 3^3 = 216 bacteria

At t4 = 4 weeks ----------> n4 = 8 • 3^4 = 648 bacteria (That is the answer)

At tn = n weeks ----------> n4 = 8 • 3^n

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