1. Consider a population that grows according to the recursive rule Pn=Pn1+50Pn=Pn-1+50, with initial population P0=40P0=40. Then: P1P1 = P2P2 = Find an explicit formula for the population. Your formula should involve nn (use lowercase n) Pn=Pn= Use your explicit formula to find P100P100 P100P100 =

2. A population of beetles are growing according to a linear growth model. The initial population (week 0) is P0=5P0=5, and the population after 10 weeks is P10=65P10=65. Find an explicit formula for the beetle population after nn weeks. PnPn = After how many weeks will the beetle population reach 125? weeks=

3. A city currently has 123 streetlights. As part of a urban renewal program, the city council has decided to install 2 additional streetlights at the end of each week for the next 52 weeks. How many streetlights will the city have at the end of 41 weeks? streetlights=

4. A population grows according to an exponential growth model. The initial population is P0=13P0=13, and the growth rate is r=0.45r=0.45. Then: P1P1 = P2P2 = Find an explicit formula for PnPn. Your formula should involve nn. PnPn = Use your formula to find P11P11 P11P11 =