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?

Respuesta :

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

Answer:

Arithmetic sequence formula is: [tex]a_n = 20 + (n - 1) \times 4[/tex]

After 9 customers there are 52 tires in the bin

Step-by-step explanation:

The general arithmetic sequence formula is:

[tex]a_n = a_1 + (n - 1) \times d[/tex]

where [tex]a_1[/tex] is the first term, [tex]a_n[/tex] is the nth term, n is the term position and d is the common difference.

Assuming [tex]a_1[/tex] = 20

The second term is 24, then:

[tex]24 = 20 + (2 - 1) \times d[/tex]

d = 24 - 20 = 4

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

[tex]a_n = 20 + (n - 1) \times 4[/tex]

With n = 9:

[tex]a_9 = 20 + (9 - 1) \times 4[/tex]

[tex]a_9 = 52 [/tex]