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write a recursive formula for each sequence given or described below.
. A bacteria culture has an initial population of 10 bacteria, and each hour the population triples in size

Respuesta :

Answer:

Recursive form is number of bacteria after n hours b(n) = 3 x b(n-1), where b(0) = 10 and n ≥ 1

Step-by-step explanation:

Let b(n) be the number of bacteria after n hours.

We have b(0) = 10

Given that each hour the population triples in size

That is

           b(1) = 3 x 10  = 3b(0)

           b(2) = 3 x b(1)

           b(3) = 3 x b(2)

           b(n) = 3 x b(n-1)

Recursive form is number of bacteria after n hours b(n) = 3 x b(n-1), where b(0) = 10 and n ≥ 1

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