.Write the recursive formula for the number of cars sold, Pn, in the (n+1)th week. and Write the explicit formula for the number of cars sold, Pn, in the (n+1)th week

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 six cars (). The second week the dealership sold cars ()

.Write the recursive formula for the number of cars sold, , in the ()^th week.

 = 

 Write the explicit formula for the number of cars sold, , in the ()^th week

. =____

   If this trend continues, how many cars will be sold in the sixth week? cars

Answer 1

It's an arithmetic sequence, with common difference =4 = d

6,10,14,18,22, 26, 30,34, 38, 42...

in the 6th week, 26 cars will be sold

Pn= P1 + (n-1)d = 6+(n-1)(4) = 6+ 4n-4 = 4n+2

Pn = 4n+2

P6 + 4(6)+2 = 26

Pn = Pn-1 + 4. each term is 4 more than the previous term