Question

The graph of an arithmetic sequence is shown.

What is the value of the fifth term?

1


0.5


7


6.5

Answer 1

7 is the fifth term.

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.

Answer 2

The fifth term is 7

Explanation:

Looking at the graph

we have the ordered pairs

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

so

Let

`a_1=5\\a_2=5.5\\a_3=6\\a_4=6.6\\a_5=7`

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