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ankoles [38]
3 years ago
12

Dominic is driving on a long road trip. He currently has 10 gallons of gas in his car. Each hour that he drives, his car uses up

1.25 gallons of gas. How much gas would be in the tank after driving for 3 hours? How much gas would be left after tt hours?
Mathematics
1 answer:
zhuklara [117]3 years ago
5 0

Answer:

in three hours he would have used up 3.75 gallons of gas. He would have 6.25 gallons of gas left in his tank after driving 3 hours.

Step-by-step e

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Answer:

see explanation

Step-by-step explanation:

The n th term ( explicit formula ) of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁₂ = - 95 and a₃₇ = - 270 , then

a₁ + 11d = - 95 → (1)

a₁ + 36d = - 270 → (2)

Subtract (1) from (2) term by term to eliminate a₁

25d = - 175 ( divide both sides by 25 )

d = - 7

Substitute d = - 7 into (1) and solve for a₁

a₁ + 11(- 7) = - 95

a₁ - 77 = - 95 ( add 77 to both sides )

a₁ = - 18 , thus

a_{n} = - 18 - 7(n - 1) = - 18 - 7n + 7 = - 7n - 11

a_{n} = - 7n - 11 ← explicit formula

--------------------------------------------------------------

The recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term, thus

a_{n} = a_{n-1} - 7 with a₁ = - 18 ← recursive formula

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Answer:

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Step-by-step explanation:

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I have attached the work to your problem.

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Step-by-step explanation:

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