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anonymous

  • one year ago

Andrea is designing the seating arrangement for a concert in her local park. To give everyone a good view, each row must have 4 more seats than the row bedore it and the 1st row can only have ten seats. Help Andrea plan the rest of the seating by solving for how many seats are in row 20. Then explain to Andrea how to create and equation to predict the number of seats in any row. Show your work, and use complete sentences.

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  1. DanJS
    • one year ago
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    Series First row has 10 Each next row has 4 more than the previous

  2. DanJS
    • one year ago
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    I think they want you to make a table with all the entries to 20 for the first part

  3. DanJS
    • one year ago
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    Row ----------- Seats 1 10 2 14 3 18 . . . . 20 x

  4. anonymous
    • one year ago
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    Ok what else

  5. DanJS
    • one year ago
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    Are you familiar with 'Arithmatic sequence'

  6. DanJS
    • one year ago
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    a series of numbers with a constant difference between them

  7. anonymous
    • one year ago
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    Yes but i'm not sure how to apply it in this problem

  8. DanJS
    • one year ago
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    the general form for this type is: \[a _{n}=a _{1}+(n-1)*d\]

  9. DanJS
    • one year ago
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    Any nth term is the first term + the number of rows before it (n-1) times the common difference between terms

  10. DanJS
    • one year ago
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    They give you the first row has 10 \[a _{1}=10\] and also the difference between consecutive terms d, is +4

  11. DanJS
    • one year ago
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    The chairs in any nth row \[a _{n}=10+4*(n-1)\]

  12. DanJS
    • one year ago
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    is the first row number , plus, 4 times the number of rows before n

  13. DanJS
    • one year ago
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    if you missed something let me know

  14. anonymous
    • one year ago
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    Is that the whole thing

  15. DanJS
    • one year ago
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    yeah, all that besides the chart, was for the.. "Then explain to Andrea how to create and equation to predict the number of seats in any row"

  16. DanJS
    • one year ago
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    number of chairs in the nth row

  17. DanJS
    • one year ago
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    so the 20th row has, n=20 \[a _{20}=10+4*(20-1)\]

  18. anonymous
    • one year ago
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    Is the answer 86

  19. DanJS
    • one year ago
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    10 + 19*4

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