Question: Consider a population that grows according to the recursive ruleP n = P n 1 + 120 Pn=Pn-1+120 , with initial populationP 0 = 40

Consider a population that grows according to the recursive ruleP

n

=

P

n

1

+

120

Pn=Pn-1+120

, with initial populationP

0

=

40

P0=40

.

Then:

P

1

P1=

P

2

P2

=

Find an explicit formula for the population. Your formula should involven

n

(use lowercase n)

P

n

=

Pn=

Use your explicit formula to findP100

P100

P

100

P100

=

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