A supermarket finds that the number of boxes of a new cereal sold increases each week. In the first week, only 26 boxes of the cereal were sold. In the next week, 57 boxes of the cereal were sold and in the third week 88 boxes of the cereal were sold. The number of boxes of cereal sold each week represents an arithmetic sequence. What is the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in week n?

Question

Marshall Cain

Mathematics

22 September, 02:11

A supermarket finds that the number of boxes of a new cereal sold increases each week. In the first week, only 26 boxes of the cereal were sold. In the next week, 57 boxes of the cereal were sold and in the third week 88 boxes of the cereal were sold. The number of boxes of cereal sold each week represents an arithmetic sequence. What is the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in week n?

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Marianna Dawson · Answer 1

If the pattern goes 26, 57, 88 you can find the difference between each number to see how much it's going up by each time. 57 - 26 = 31 and 88 - 57 = 31

That means each week the number of boxes of a new cereal increases by 31, or + 31