The graph of an arithmetic sequence is shown.

what is the value of the fifth term?

1

0.5

7

6.5

The fifth term is 7

Step-by-step explanation:

Looking at the graph

we have the ordered pairs

(1,5),(2,5.5),(3,6),(4,6.5),(5,7)

so

Let

The common difference in this arithmetic sequence is 0.5

The value of the fifth term is a_5

therefore

The fifth term is 7

Step-by-step explanation:

The graph is showing five different terms: 5, 5.5, 6, 6.5, 7,...

As you can observe, the sequence is growing by a difference of 0.5.

Therefore, the value of the fifth term in the arithmetic sequence is 7, which is represented by the last point.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.