Find the two missing terms of the sequence and determine if the sequence is arithmetic, geometric, or neither.
3, 1, -1, -3, __

It is Arithmetic.

Step-by-step explanation:

1) A sequence is geometric when it goes from a term to the next term by  multiplying by the same number, which is called "Common ratio" ().

2) A sequence is arithmetic when it goes from a term to the next term by  adding or subtracting a common value. This value is called "Common difference" and it is denoted with .

Then, given the following sequence:

- Let's find out if it is geometric by dividing  each term by its previous one. Then:

Since there is no Common ratio, it is not a Geometic sequence.

- Now let's see if it is  arithmetic by subtracting each term by its previous one:

You can idenfity that it has a Common difference:

Therefore, it is an Arithmetic sequence.

The next to terms are:

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be