Answer:
Recursive Formula, Pₙ=Pₙ₋₁+2
Explicit Formula, Uₙ=4+2n
12 cars
Step-by-step explanation:
In Week 1, the dealer sold six cars, P₀=6
In Week 2, the dealer sold 8 cars, P₁=8
The difference in car sales between the first and second week is 2.
Therefore, for the (n+1)th week, the Recursive Formula is Pₙ=Pₙ₋₁+2
This is an arithmetic progression where the:
First term, a=6
Common difference, d =2
The nth term of an A.P. is given by Uₙ=a+(n-1)d.
The Explicit Formula, Uₙ=6+2(n-1)
=6+2n-2=4+2n
In the fourth week, U₄=4+2(4)=4+8=12
12 cars will be sold in the fourth week
