Solve the problem.
-A theater has 30 rows with 26 seats in the first row, 30 in the second row, 34 in the third row, and so forth. How many seats are in the theater?
A) 2520 seats
B) 5160 seats
C) 2580 seats
D) 5040 seats

Question

Quizplus · Accepted Answer

The number of seats in each row increases by 4. So, the number of seats in the 30th row is 34 + (30 - 1) * 4 = 126. The total number of seats is the sum of the number of seats in each row, which is (26 + 30 + 34 + ... + 126). This is an arithmetic series with a first term of 26, a common difference of 4, and 30 terms. The sum of an arithmetic series is given by the formula 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. Plugging in the values, we get S30 = 30/2 * (26 + 126) = 2520.

Solve the Problem. -A Theater Has 30 Rows with 26 Seats in the Seats