SOLUTION: A population of beetles are growing according to a linear growth model. The initial population (week 0) is Po =3, and the population after 5 weeks is P5 =23. Find the explicit

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Question 1175031: A population of beetles are growing according to a linear growth model. The initial population (week 0) is Po =3, and the population after 5 weeks is P5 =23.
Find the explicit formula for the beetle population after n weeks.
Pn =
After how many weeks will the beetle population reach 99?
Answer by ikleyn(52832)   (Show Source): You can put this solution on YOUR website!
.

Arithmetic progression with the first term of 3.


The common difference is   =  = 4.


4 beetles are added each week.


The general formula after n weeks is


    Pn = 3 + 4n.


It will reach  99 when


    Pn = 99 = 3 + 4n

         99 - 3 = 4n

         96     = 4n

          n     = 96/4 = 24.     ANSWER

Solved.

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    - Problems on arithmetic progressions
    - Word problems on arithmetic progressions
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