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sleet_krkn [62]
4 years ago
5

List the next three terms in the following sequence1,2,4,7, 11, 16​

Mathematics
1 answer:
Brrunno [24]4 years ago
4 0

Answer:

22, 29, 37

Step-by-step explanation:

There is a pattern to find the next number in the sequence. The sequence is taking the previous number and adding the number it is in the sequence.

Notice how the first number being added is the number of the previous sum and the second number being added is always increasing by one

1+0=1

1+1=2

2+2=4

4+3=7

7+4=11

11+5=16

16+6=22

22+7=29

29+8=37

22, 29, 37

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Answer:

(A)Cost of Rental A, C= 15h

 Cost of Rental B, C=5h+50

 Cost of Rental C, C=9h+20

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i. Rental C

ii. Rental A

iii. Rental B

Step-by-step explanation:

Let h be the number of hours for which the barbeque will be rented.

Rental A: $15/h

  • Cost of Rental A, C= 15h

Rental B: $5/h + 50

  •  Cost of Rental B, C=5h+50

Rental C: $9/h + 20

  •  Cost of Rental C, C=9h+20

The graph of the three models is attached below

(b)11.05-4.30

When you keep the barbecue from 11.05 to 4.30 when the football match ends.

Number of Hours = 4.30 -11.05 =4 hours 25 Minutes = 4.42 Hours

  • Cost of Rental A, C= 15h=15(4.42)=$66.30
  •  Cost of Rental B, C=5h+50 =5(4.42)+50=$72.10
  •  Cost of Rental C, C=9h+20=9(4.42)+20=$59.78

Rental C should be chosen as it offers the lowest cost.

(c)11.05-12.30

Number of Hours = 12.30 -11.05 =1 hour 25 Minutes = 1.42 Hours

  • Cost of Rental A, C= 15h=15(1.42)=$21.30
  •  Cost of Rental B, C=5h+50 =5(4.42)+50=$57.10
  •  Cost of Rental C, C=9h+20=9(4.42)+20=$32.78

Rental A should be chosen as it offers the lowest cost.

(d)If the barbecue is returned the next day, say after 24 hours

  • Cost of Rental A, C= 15h=15(24)=$360
  •  Cost of Rental B, C=5h+50 =5(24)+50=$170
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Rental B should be chosen as it offers the lowest cost.

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