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18 August, 07:04

If there are 2040 seats in a section of a stadium, 20 seats in the first row, and 4 more seats in each row, how many rows are there?

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Answers (2)
  1. 18 August, 07:10
    0
    2040 = n/2 (20 + (n-1) 4)

    4080 = n (20+4n-4)

    4080 = 20n + 4n^2 - 4n

    1020 = 4n + n^2

    n^2 + 4n - 1020 = 0

    use common formula (can't write out so just look at answers. sorry)

    which gives answers of n=-34 and n=30. since n can only be positive, n=30 so there are 30 rows. I liked that challenge
  2. 18 August, 07:12
    0
    Nth term: 16+4n

    2040=16+4n

    Subtract 16 from both sides

    2024=4n

    Divide by 4

    506=n

    506 rows
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