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

Feb 15, 2016

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)

${r}_{1} = \frac{5}{2} = 2.5$

${r}_{2} = \frac{8}{5} = 1.6$

${r}_{3} = \frac{11}{8} = 1.375$

Since ${r}_{1} \ne {r}_{2} \ne {r}_{3}$ , the sequence has no common ratio.