Find a recursive rule that models the exponential growth of y=2(1.08)^t

zi2lalZ

zi2lalZ

Answered question

2021-06-14

Find a recursive rule that models the exponential growth of y=2(1.08)t

Answer & Explanation

Nathanael Webber

Nathanael Webber

Skilled2021-06-15Added 117 answers

The functional form the given equation can be written as f(t)=2(1.08)t where f(0)=2 and 1.08 is the ratio of succesive values of the function.
That is, f(1)f(0)=f(2)f(1)==f(t+1)f(t)==1.08 So, the recursive rule for this function van be written as f(t+1)=1.08f(t)

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