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city begins with population of P_0 = 50,000 and has a growth rate of r =...

city begins with population of P_0 = 50,000 and has a growth rate of r = 15%

a) Find R and give the recursive formula. Use this to find P_1 and P_2

b) Give the explicit formula for P_N. What is P_11?

c) (bonus) find the time until the population reaches 950,000 (or more)

Exponential sequence explicit formula

, R = common ratio, r = growth rate

{ P_N = P_0 R^N, where R = 1+r is the common ratio, r = growth rate }

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