SOLUTION: A population grows according to an exponential growth model. The initial population is Po=14, and the growth rate is r=0.4.
Find the explicit for Pn. The formula should involve n
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-> SOLUTION: A population grows according to an exponential growth model. The initial population is Po=14, and the growth rate is r=0.4.
Find the explicit for Pn. The formula should involve n
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Question 1175117: A population grows according to an exponential growth model. The initial population is Po=14, and the growth rate is r=0.4.
Find the explicit for Pn. The formula should involve n.
Pn= Answer by ikleyn(52802) (Show Source):
The population increases from n to (n+1) (from to ) with the multiplicative factor (1+0.4) = 1.4.
THEREFORE, the recursive formula is = .
It is the formula of a GEOMETRIC progression.
The explicit formula is = = , n = 0, 1, 2, 3, . . . ANSWER
