Question

Modern car company has come out with a new car model, Market analysts predict that 4,900 cars will be sold in the first month and that sales will drop by 100 cars per month after that during the first year. Write out the first five terms of the sequence, and find the number of sold cars predicted for the twelfth month. Find the total predicted number of sold cars for the first year. a. The first five terms of the sequence are (Use a comma to separate answers.)

Answer 1

Kindly check explanation

Explanation:

Given that:

Number of cars sold in first month = 4900

Sales drop by 100 cars per month for the first year:

A(x) = a - 100(x - 1)

No = sale In first month = 4900

First five months

Ist month :

a = 4900

2nd :

4900 - 100 = 4800

3rd :

4800 - 100 = 4700

4th:

4700 - 100 = 4600

5th:

4600 - 100 = 4500

First five terms : (4900,4800,4700,4600, 4500)

Predicted sales for 12th month :

A(12) = 4900 - 100(12 - 1)

A(12) = 4900 - 1100

= 3800

Total sales for the first year:

4900+4800+4700+4600+4500+4400+4300+4200+4100+4000+3900+3800) =

= 52,200