Find the unit rate and show work
289 miles on 10 gallons​

The unit rate is 28.9 miles per gallon

Step-by-step explanation:

28.9 miles per gallon

Step-by-step explanation:

unit rate is usually something per something. Like miles per hour. In this case we have mile per gallon. MPG.

Unit rate is basically A number X per 1 of something.

so in this cares X per gallon.

we want 10 gallons to go to 1 gallon. So we divide by 10 to get to 1. But if we divide by 10 on one side, we have to do it to the other side. so 289/10=28.9

so our final answer is:

28.9 miles per gallon

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for