Question

A theater has group prices for tickets. The first ticket will cost $10 while each additional ticket costs $8. Which rule models the situation?

a. an= 10 + 8 (n - 1)
b. an-1= 10 + 8 (n - 1)
c. an= 18 (n - 1)
d. an-1= 18 (n - 1)

Answer 1

Answer: Choice A.

an = 10 + 8(n - 1)

=================================================

Step-by-step explanation:

a1 = 10 is the first term

The common difference is d = 8 since we add 8 to each previous price to get the next price.

We have the arithmetic sequence with nth term of

an = a1 + d*(n-1)

an = 10 + 8(n - 1)

If you wanted, you could simplify that to get

an = 10 + 8n - 8

an = 8n + 2