Carl is designing an auditorium. The setaing on the first level is in the shape ofa trapezoid, with the shortest base in front of the stage. This customer wants to see several configurations. The first row will have to have 24 seats and each of the following rows will follow an arithmetic sequence. There needs to be between 1000 to 1600 seats. Answer the following and show all work and explain your answer.
Carl is designing an auditorium. The setaing on the first level is in the shape ofa trapezoid, with the shortest base in front of the stage. This customer wants to see several configurations. The first row will have to have 24 seats and each of the following rows will follow an arithmetic sequence. There needs to be between 1000 to 1600 seats. Answer the following and show all work and explain your answer.
a. Find at least three different arithmetic sequences that could be used . Make sure to give the sequence, the number of rows, and the total number of seats.
b. What might make one configuration better than another? What other information would help in choosing the sequence to use?
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