Question

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

GO
an
1.
-11
1
2
3
4
5
6
7
8
9
n
-2
-3
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
-10

Answer 1

9514 1404 393

Answer:

-0.75

Explanation:

If the difference is common, it is the difference of any pair of adjacent y-values (for sequential x-values).

-4.5 -(-3.75) = -0.75 . . . . . difference between the first two y-values

The common difference is -0.75.