If a car starts with 10 gallons of fuel and consumes a constant of 0.05 gallons for every driven mile, after 10 miles how many gallons of gas is remaining

Answer: 9.55 gallons of gas would remain.

Step-by-step explanation:

If the car consumes a constant of 0.05 gallons for every driven mile, it means that the number of gallons remaining would be decreasing in arithmetic progression.

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1) d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms (miles) in the sequence.

From the information given,

a = 10 gallons

d = - 0.05 gallons

n = 10

We want to determine the value of the 10th term, T10. Therefore,

T10 = 10 - 0.05 (10 - 1)

T10 = 10 - 0.45

T10 = 9.55 gallons