Suppose ( -3, - 5) and ( – 2, – 3) are points on the graph of the linear function f(x).
determine the slope and whether the function is increasing or decreasing.
slope =
this function decreasing
this function increasing
es
.

Remember, Rise/Run. Your answer is 2 for the slope. And I figure if the slope is positive (also, just look at the numbers, they're greater in the second point than the first)  so your function is increasing.

, 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