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# Arithmetic Series - High School Auditorium

ACTMAT-NVJAIQ

Use the following information to answer questions 4-7:

In Euclid High School's auditorium, the first row contains 14 seats, the second row contains 17 seats, etc., adding 3 additional seats per row until the back row, row 23. Amy's little sister decided to count the seats one by one, row by row, until she got to the end. She gave up after counting a total of 416 seats.

How many rows of seats did Amy's little sister count?

A

$12$

B

$13$

C

$14$

D

$15$

E

$16$