3. Mason discovered that when he recorded a deposit of $75 two weeks ago, he mistakenly subtracted it from the running total in his check register. He decided that he would write a new
entry after his most recent entry and add $75. Will this correct his mistake? Explain.

, 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

d. all of the above

step-by-step explanation:

step-by-step explanation: