There are 11 seats in the front row of jack auditorium (on jack street in the town of jackville). after the first row, each row contains 8 more seats than the row in front of it. if there are 29 rows of seats in the hall, what is the seating capacity of the auditorium?

The seats are arranged in an arithmetic sequence, and the problem is asking you to find the sum of the arithmetic sequence.

The basic equation for an arithmetic sequence is:

n=# term, d=difference (8)

Plug in your values to get the equation:

This equation satisfied the problem.

Now find the sum of the arithmetic sequence using the equation:



To substitute in values of  and into the sum equation, they must be solved for first. n=29 because there are 29 rows.:



Now substitute number into the sum equation and solve for S:




The answer is 3,567 total seats in the auditorium.