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

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): You can put this solution on YOUR website!
.


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

Solved, explained and completed.

---------------

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    - Geometric progressions
    - The proofs of the formulas for geometric progressions
    - Problems on geometric progressions
    - Word problems on geometric progressions
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"Geometric progressions".

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