Question

What Is the common difference or common ratio of the sequence 2, 5, 8, 11...?

Answer 1

The sequence has a common difference:
`d=3`

Explanation:

1) Testing for common difference(d):

`2,5,8,11`

`d_1= 5-2=3`

`d_2= 8-5=3`

`d_3= 11-8=3`

Since `d_1=d_2=d_3=color(blue)(3` , the sequence has a common difference maintained across the sequence.

The common difference: `color(blue)(d=3`

2) Testing for common ratio(r)

`r_1=5/2=2.5`

`r_2=8/5=1.6`

`r_3 = 11/8=1.375`

Since `r_1 != r_2 !=r_3` , the sequence has no common ratio.