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kolbaska11 [484]
3 years ago
13

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 c

ereal 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
Mathematics
1 answer:
vaieri [72.5K]3 years ago
6 0
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
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Answer:

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Step-by-step explanation:

The two equations have the same coefficient for y, so you can eliminate y by subtracting one equation from the other. Here the x coefficient is largest for the first equation, so it will work best to subtract the second equation.

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  x = -4 . . . . . . . . simplify

Now, we can find y by substituting this value for x.

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Law of sines is expressed as follows: x/sin X = y/sin Y = c/sin Z.

Given the following:

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