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The number of cars sold weekly by a new automobile dealership grows according to a linear growth model. The first week the dealership sold three cars ( P0=3). The second week the dealership sold nine cars ( P1=9). Write the recursive formula for the number of cars sold, P, in the (n + 1)n week. P- Pn-1. Write the explicit formula for the number of cars sold, P, in the (n + 1)1n week. If this trend continues, how many cars will be sold in the fourth week?

Respuesta :

Answer:

21

Step-by-step explanation:

Given that the number of cars sold weekly by a new automobile dealership grows according to a linear growth model.

Linear growth means rate of change of sales is constant i.e. slope = m = constant.

I week sales = 3

II week sales =9

So we can write as every week 6 cars would increase

i.e. [tex]P_{n+1} =P_n+6[/tex]

In IV week we can say

no of cars sold = 3+(4-1)6

= 21.

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