The number of rows in the arena is 26
The hockey arena illustrates an arithmetic sequence, and it has the following parameters:
The number of rows (i.e. the number of terms) is calculated using:
[tex]S_n = \frac{n}{2}(2a + (n -1) * d)[/tex]
So,we have:
[tex]10920 = \frac{n}{2}(2 * 220 + (n -1) * 16)[/tex]
Evaluate the terms and factors
[tex]21840 = n(440 + 16n -16)[/tex]
Evaluate the like terms
21840 = n(424+ 16n)
Expand
21840 = 424n + 16n^2
Rewrite as:
16n^2 + 424n - 21840 = 0
Using a graphical tool, we have:
n = 26
Hence, the number of rows in the arena is 26
Read more about arithmetic sequence at:
https://brainly.com/question/6561461
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