Jake is. buying a piece of receycled art from luna. he started by giving her 50$ and promised her 5$ a week until he pays the total price. what equation shows the relationship between the total amount paid (t) and the number of weeks (w) jake will pay luna?

50x5=$250

step-by-step explanation:

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step-by-step explanation:

, 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