Jade and juliette are riding their bikes across the country to promote autism awareness. they rode their bikes 45.4 miles on the first day and 56.3 miles on the second day. from now on, jade and juliette plan to ride their bikes 62 miles per day. if the entire trip is 2,878 miles, how many more days do they need to ride?

create a graph or table to determine how many more days jade and juliette need to ride their bikes to complete their trip. explain the process you used to solve the problem.

44 more days if don't count the two they already ran,  46 if you do count those days.

, 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