Jalen needs $58 to pay for a club membership fee. She already has $18 and plans to earn the rest by washing cars. If she charges $5 per car, how many cars, , will she need to wash. Write and solve an equation. Use your solution for your check.

the answer for this question is 38

, 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