Question

The first row of a section in a stadium has 10 seats. The second row has 11 seats. The third row has 12 seats. This pattern continues and the section has 24 rows.

How many seats are in this section?



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GPT 3.5
The total number of seats in the section can be calculated by adding the number of seats in each row.

Total number of seats = 10 + 11 + 12 + ... + 24

The sum of an arithmetic sequence can be calculated using the formula:
S = n/2 * (a1 + an)
where S is the sum of n terms, a1 is the first term, an is the last term, and n is the number of terms.

Using this formula:
S = 24/2 * (10 + 24)
S = 12 * 34
S = 408

Therefore, there are 408 seats in this section.

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