There are 78 students from a local high school attending a concert. The concert hall has 40 rows of seats. The first row has 50 seats, and each row after that has 4 more seats than the one before. If all 78 students sit in one row and are as close to the front row as possible, in which row did the students sit?

The number of seats in row n is 50 + 4(n − 1), since each row adds 4 seats. For row 7, there are 50 + 4(6) = 74 seats, which is not enough for 78 students. Row 8 has 50 + 4(7) = 78 seats, so the students sat in row 8, the closest row to the front that could fit them.

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