I need a formula (or a couple) for sequences and series at a high school level to solve question 3: I already found answer for question 1 and 2 already

".Mr. Dogs 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 to be the row closest to the ice. He wants the number of seats in each row to form an arithmetic sequence, increasing by the same number in each subsequent row. Your task is to decide on the total number of seats in the arena by designing a seating arrangement that has a reasonable number of rows by determining:

a. The number of seats in the first row.

b. The number of rows required.

c. The number of seats by which each row increases.

d. The number of seats in the last row.

e. The total number of seats in the arena.

2. In his current arena, Mr. Dogs charges $6000 per season for seats in rows 1-10, $4000 for season seats in rows 11-20, $3000 for season seats in rows 21-30, and $2000 for season seats in rows 31-40. He thinks that a more fair way to decide on season ticket prices is to use a geometric sequence, and decrease the price in each subsequent row by the same factor based on the price of the row in front of it. For your proposal

a.Determine a reasonable price per game for each seat in the first row.

b.Determine the factor by which the cost of each seat per game will decrease in each subsequent row from row 1

.c.Determine the price per game of each seat in the last row.

3.There are 41 home games in the regular season. Given that he needs to sell every seat in the arena and generate at least $50 000 000 in revenue, determine the following:a.The total revenue he will generate by selling all the seats in his rink at the prices you set above. You may have to adjust the prices you set above in order to generate at least $50 000 000 in revenue.

https://studylib.net/doc/7019930/mathematics-20-1-sequences-and-series