Question

After one customer buys 4 new tires, a garage recycling bin has 20 tires in it. After another customer buys 4 tires, the bin has 24 tires in it.
What is the explicit formula to represent the # of tires in the bin as an arithmetic sequence? And how many tires are in the bin after 9 customers buy all new tires?

Answer 1

Its (24) 4×9=36. so (36 +24 =60) so there is 60 tires in the bin

Answer 2

Answer:

Arithmetic sequence formula is: $a_n = 20 + (n - 1) \times 4$

After 9 customers there are 52 tires in the bin

Step-by-step explanation:

The general arithmetic sequence formula is:

$a_n = a_1 + (n - 1) \times d$

where $a_1$ is the first term, $a_n$ is the nth term, n is the term position and d is the common difference.

Assuming $a_1$ = 20

The second term is 24, then:

$24 = 20 + (2 - 1) \times d$

d = 24 - 20 = 4

So,  for this case, the arithmetic sequence formula is:

$a_n = 20 + (n - 1) \times 4$

With n = 9:

$a_9 = 20 + (9 - 1) \times 4$

$a_9 = 52$