Matrix's van holds 14 gallons of gas and can be driven 25 miles per gallon. his next road trip is 1,050 miles away. how many times will his ban need to be filled up to make the trip?

So Matrix's van can take up to 14 gallons of gasoline, and it does 25 miles for one gallon, wait a second, it takes up 14 gallons though, if it does 25 miles for 1 gallon, how much does it do for the whole 14 gallons?  well, 14 * 25, that many miles for a whole full tank.

On his next trip, he'll be driving it for 1050 miles, how many tanks is that?

well, how many times does (14*25) go into 1050?   1050/(14*25)  that many.

an = 7.5 - 5.5(n - 1).

Step-by-step explanation:

The common difference d = -5.5.

The first term is given as 7.5.

Explicit formula is

an = a1 + (n - 1)d

= 7.5 + (n - 1)-5.5

= 7.5 - 5.5(n - 1)