ACT Math · Sequences and series
A theater has 20 seats in the first row. Each subsequent row has 4 more seats than the row before it. How many seats are in the 10th row?
A theater has 20 seats in the first row. Each subsequent row has 4 more seats than the row before it. How many seats are in the 10th row?
Answer and explanation
Answer: A: 56
The seat counts form an arithmetic sequence with first term and common difference . The th term is , so the th row has seats, choice A. Choice D () uses rather than additional steps, which is the th row. Choice B () uses steps. Choice C () uses steps. The first row is the starting term, so the number of added differences is one less than the row number.
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