The number of cars sold weekly by a new automobile dealership grows according to a linear growth model. The first week the dealership sold eight cars (P0 = 8). The second week the dealership sold thirteen cars (P1 = 13). Fill in the blanks by typing in numbers only.Write the recursive formula for the number of cars sold, PN .
Question
The number of cars sold weekly by a new automobile dealership grows according to a linear growth model. The first week the dealership sold eight cars (P0 = 8). The second week the dealership sold thirteen cars (P1 = 13). Fill in the blanks by typing in numbers only.Write the recursive formula for the number of cars sold, PN .
Solution
The recursive formula for the number of cars sold, PN, can be written as:
PN = PN-1 + 5
This formula is derived from the given information. The dealership sold 8 cars in the first week and 13 cars in the second week. The difference between these two numbers is 5, which represents the weekly increase in the number of cars sold. Therefore, the number of cars sold in any given week (PN) is equal to the number of cars sold in the previous week (PN-1) plus 5.
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