The following set is defined as S = {9, The following symbol A is a new
binary operation.
If the following matrix represents all
the possible outcomes over this
binary operation A.
Is the set S, closed under this
operation( A )? How do you know?

i believe it is c.y = 9x

rise over run. 9 units up over 1 unit right or 9/1

, 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