Question

What is the common difference of the arithmetic sequence 5, 4.5, 4, 3.5,...?

Answer 1

`color(blue)(d=-0.5`

Explanation:

The arithmetic sequence is:

`5, 4.5, 4, 3.5`

For any two consecutive terms of an arithmetic sequence there is a common difference which can be found as follows:

`d = 4.5-5 =-0.5`
`d=4 - 4.5 = -0.5`
`d= 3.5 -4 =-0.5`

So the common difference of this arithmetic progression is
`color(blue)(d=-0.5`