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anonymous

  • one year ago

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.

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  1. anonymous
    • one year ago
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    Do you know what an arithmetic series is?

  2. anonymous
    • one year ago
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    or rather sequence?

  3. anonymous
    • one year ago
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    Kinda yea

  4. anonymous
    • one year ago
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    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.

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

  6. anonymous
    • one year ago
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    \[a _{n}=12+3(2-1)\] n is the row number correct?

  7. anonymous
    • one year ago
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    n is the row number, so you want to keep it in the formula until we look for a specific row

  8. anonymous
    • one year ago
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    \[a _{n}=12+3(n-1)\]

  9. anonymous
    • one year ago
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    So if we were to figure out the number of the thirteenth row we would plug in 13 for n?

  10. anonymous
    • one year ago
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    right

  11. anonymous
    • one year ago
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    Okay thank you :)

  12. anonymous
    • one year ago
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    you're welcome

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