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Harry used 0.75 liters of gasoline on the first day of his trip, 1.5
liters on the second, 2.25 liters on the third, and 3 liters on the
fourth. Write a function to describe the sequence, and then use
the function to predict the amount of gasoline used on the
eighth day of his trip.
Oy=0.5n; 4 L
O y = 0.75n; 6 L
Oy=n; 8L
Oy=1.5m; 12 L

Respuesta :

The function is to describe the sequence and the amount of gasoline used on the eighth day of his trip will be y = 0.75n and 6 L respectively. Option B is correct.

What is an arithmetic sequence's sum of terms?

Each consecutive term in an arithmetic sequence has a common constant difference.

The sequence of the  liters of gasoline on each day is;

0.75,1.5,2.25,3

The given series is an arithmetic series with a common difference of 0.75

Common difference,d=0.75

First-term,a=0.75

The amount of gasoline used on the eighth day of his trip.

The nth term of the arithmetic sequence is;

[tex]\rm a_n = a+(n-1)d \\\\ \rm a_8 = 0.75+(8-1)0.75 \\\\ a_8 = 6[/tex]

The 8th term of the arithmetic sequence is 6L.

The function is to describe the sequence and the amount of gasoline used on the eighth day of his trip will be y = 0.75n and  6 L.

Hence, option B is correct.

To learn more about the arithmetic sequence refer;

https://brainly.com/question/15412619

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