Vanora S.

asked • 10/10/22

how do i solve this sequence and series word problem?

Situation:


Mr. Babushka has asked you to design a seating plan for a new DC Stadium. Currently, his team plays in a rink like the one below. Mr. Babushka wants the number of seats in the arena to be between 18,000 and 22,500. One ring of seats all the way around the rink is considered a row, and row 1 is considered the row closest to the center which needs 460 seats. He wants the number of seats in each row to be increased by the same number 4 in the subsequent row.


Your task ·        


How many seats are going to be in each row?


How many rows are needed to fulfill the number of seats for the stadium?


Is this scenario a geometric sequence or an arithmetic sequence? How do you know?


Write an explicit geometric sequence formula or an arithmetic sequence formula for the number of seats in the stadium.


Figure out the total amount of seats that are going to be in the stadium.


Mark M.

The like one below is not below!
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10/10/22

Peter R.

tutor
It's arithmetic because the no. of seats increases by a fixed amount each time (4). Look up the formula for the sum of an arithmetric series. Use 4 for d, 460 for a, and 18000 and 22,500 for the sum. Solve for n, the no. of rows in this case. It'll be a quadratic (use the on-line quadratic formula calculator).
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10/10/22

1 Expert Answer

By:

Bradley L. answered • 10/14/22

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Bradley | Coding Tutor

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