Emily rented a truck to move her belongings from her old apartment to her new apartment. the company charges a flat rental fee of $21.50 with an additional $0.50 for each mile driven. if the total cost was at most $121, how far did emily drive to move her belongings to her new apartment

because they could drop even lower..

, 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