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Aloiza [94]
2 years ago
12

60 PTSA grocery store finds that the number of boxes of a new cereal sold increases each week. In the 1st week, 26 boxes of the

cereal were sold. In the 2nd week, 58 boxes of the cereal were sold and in the 3rd week 90 boxes of the cereal were sold. The number of boxes of cereal sold each week represents an arithmetic sequence.
Show all work!
A) State the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in week n.

B) Use this rule to calculate how many boxes of cereal will be sold during the 9th week.
Mathematics
1 answer:
Marianna [84]2 years ago
4 0

Answer:

aₙ = 31n -  5

Step-by-step explanation:

The terms of your sequence are.

26, 57, 88, …

This is an arithmetic sequence, because there is a constant difference of 31 between consecutive terms.

The explicit formula for the nth term of an arithmetic sequence is

aₙ = a₁ + d(n - 1 )

a₁ is the first term, and d is the difference in value between consecutive terms. Thus,  

aₙ = 26 + 31(n - 1) = 26 + 31n - 31

aₙ = 31n - 5

The explicit rule for the arithmetic sequence is aₙ = 31n - 5.

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How do you use distributive property for 12(52)-12(62)
ololo11 [35]

Answer:

-120 , split it into diferent parts.

Step-by-step explanation:

12 (52) - 12 (62) = ?

12 x 52 = 624

12 x 62 = 744

624 - 744 = -120

3 0
3 years ago
A cube has a volume of 216cm³ what is the side length of the cube​
ludmilkaskok [199]

Answer:

The side length of  the cube is 6 cm

Step-by-step explanation:

The volume of a cube is given by

V = s^3

We know the volume is 216

216 = s^3

Take the cube root of each side

216 ^ (1/3) = s^ (1/3)

6 = s

The side length of  the cube is 6 cm

5 0
3 years ago
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Nikitich [7]

i(5 - i) + 2i (i + 6) =

distribute

5i - i^2 +2i^2 +12i

5i - (-1) +2 (-1) +12i

5i +1 -2 +12i

-1+17i

8 0
3 years ago
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If f ( x ) = 2x + 2 and g ( 1 ) = 3x – 1, find (f/g) (2)
schepotkina [342]

Answer:

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Step-by-step explanation:

<u>Given functions:</u>

  • f (x) = 2x + 2
  • g (x) = 3x – 1

<u>To find:</u>

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<u>Solution</u>

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  • (f/g)(2) = (2*2 + 2) / (3*2 -  1) = 6/5 = 1.2
6 0
3 years ago
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nadezda [96]

Answer:

x=1

Step-by-step explanation:

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