Solve.
-A theater has 36 rows with 25 seats in the first row, 30 in the second row, 35 in the third row, and so forth.How many seats are in the theater?
A)4,050 seats
B)4,140 seats
C)8,100 seats
D)8,280 seats

Question

Quizplus · Accepted Answer

To find the total number of seats, we need to add up the number of seats in each row. We can use the formula for arithmetic series to do this: Sn = (n/2)(a1 + an), where Sn is the sum of the first n terms, a1 is the first term, and an is the nth term. Using this formula, we find that the sum of the first 36 terms (number of rows) is 18(25 + 350) = 6,300. Therefore, the total number of seats is 6,300.

Solve. -A Theater Has 36 Rows with 25 Seats in the the First