Question

What is the common difference of the arithmetic sequence graphed below?

CO
tan
1 +
-11
1
2.
3
4
5
6
7
8
9
n
-27
-37
-4
-5
-6
(1.-3.75)
• (2, 4.5)
(3, -5.25)
• (4, -6)
• (5.-6.75)
• (6, -7.5)
• (7,-8.25)
(8,9)
-7
-8
-9-
-101
4.

Answer 1

The common difference is: -0.75

Explanation:

Given

See attachment

Required

The common difference

From the graph, we have:

`T_n: -3.75, -4.5, -5.25, -6, -6.75, -7.5, -8.25, -9.`

The x coordinates represent the position of each term

The common difference (d) is:

`d = T_n - T_(n-1)`

Let
`n = 2`

`d = T_2 - T_(2-1)`

`d = T_2 - T_1`

So, we have:

`d = -4.5 - (-3.75)`

`d = -4.5 +3.75`

`d = -0.75`