A supermarket finds that the number of boxes of a new cereal sold increases each week. in the first week, only 16 boxes of the cereal were sold. in the next week, 33 boxes of the cereal were sold and in the third week 50 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? an=17n+33 an=17n+1 an=17n-1 an=17n-33

Question

Matilda Casey

Mathematics

26 January, 20:51

A supermarket finds that the number of boxes of a new cereal sold increases each week. in the first week, only 16 boxes of the cereal were sold. in the next week, 33 boxes of the cereal were sold and in the third week 50 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? an=17n+33 an=17n+1 an=17n-1 an=17n-33

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Answers (1)

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Larry Morales · Answer 1

For this case, the arithmetic sequence is given by:

an = 17n-1

Let's check it:

First week:

n = 1:

a1 = 17 (1) - 1

a1 = 17-1

a1 = 16

Second week:

n = 2:

a2 = 17 (2) - 1

a2 = 34-1

a2 = 33

Third week:

n = 3:

a3 = 17 (3) - 1

a3 = 51-1

a3 = 50

Answer:

the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in week n is:

an = 17n-1