We know the initial population is 4
The growth rate is .35
P1 = P0 + P0*.35 = P0(1+.35)
P1 = 4 + 4(.35) = 4( 1+.35) = 4(1.35) = 5.4
P2 = P1 + P1* .35 = P1 ( 1+.35) =
5.4( 1.35) =7.29
Notice that we are multiplying the previous term by 1.35 each time
We can rewrite P2
P2 = P1 ( 1.35) =
Replacing P1 with P0(1.35)
P2 = P0(1.35) ( 1.35)
P2 = P0 ( 1.35) ^2
The general formula is
Pn = P0 ( 1.35) ^n
P11 = P0 (1.35) ^11
= 4 ( 1.35) ^11
= 108.5754017