Consider a population that demonstrates linear growth:
... L6=295L6=295, L7=343L7=343, L8=391L8=391, L9=439L9=439, ..
What is the common difference for this arithmetic sequence?
d=
What is the initial population?
L0=
2.The number of cars sold weekly by a new automobile dealership grows according to a linear growth model. The first week the dealership sold four cars (P0=4P0=4). The second week the dealership sold cars (P1=12P1=12).
Write the recursive formula for the number of cars sold, PNPN, in the (N+1N+1)th week.
PN = PN−1+?
Write the explicit formula for the number of cars sold, PNPN, in the (N+1N+1)th week.
PN=?N+?
If this trend continues, how many cars will be sold in the fourth week?
3.Consider a population that grows according to the recursive rule Pn=Pn−1+125Pn=Pn-1+125, with initial population P0=30P0=30.
Then.P1= ? P2=?
Find an explicit formula for the population. Your formula should involve nn (use lowercase n) Pn=
Use your explicit formula to find P100 P100=
