Pick from list of linear function on the back of this page to represent your sequence for this whole project
Using 10 notecards, write the Inputs A, - A,, on the front (ex, A, goes on the front of the first
notecard, A, goes on the front of the second notecard, etc). On the back of the notecards you
will write the corresponding output (ex: if your function is y = 3x - 5, the front of the first note
card should have A, and the back should have -2 because when you plug into the
equation 3(1) - 5 = 3-5 = -2.

, 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

126 maybe. sorry