Question

Crystal is organizing the seating arrangements for a concert in her local park. The first row's seats are modeled by the function f(x) = 12. To give everyone a good view, each row must have three more seats than the row before it. The number of additional seats a row has is modeled by the function s(x) = 3(x - 1).

Explain to Crystal how to create an equation to predict the number of seats in any row. Describe how to determine the number of seats in the thirtieth row. Use complete sentences.

Answer 1

Do you know what an arithmetic series is?

Answer 2

or rather sequence?

Answer 3

Kinda yea

Answer 4

that's what you would use to get the number of seats in each row. The first row is a1 = 12 seats. The common difference, d, is 3 because that's how much is added each row.

Answer 5

\[a _{n}=a _{1}+d(n-1)\]
Fill in that equation with your numbers for a1 and d to get the number of seats in any row

Answer 6

\[a _{n}=12+3(2-1)\]
n is the row number correct?

Answer 7

n is the row number, so you want to keep it in the formula until we look for a specific row

Answer 8

\[a _{n}=12+3(n-1)\]

Answer 9

So if we were to figure out the number of the thirteenth row we would plug in 13 for n?

Answer 10

right

Answer 11

Okay thank you :)

Answer 12

you're welcome