Answer:
We conclude that the common difference of the Arithmetic sequence is: 1/3
Step-by-step explanation:
Given the Arithmetic sequence
1/2, 5/6, 7/6, 3/2, 11/6
We know that an Arithmetic sequence has a constant common difference.
Let us compute the common difference 'd' of all the adjacent terms
[tex]\frac{5}{6}-\frac{1}{2}=\frac{1}{3},\:\quad \frac{7}{6}-\frac{5}{6}=\frac{1}{3},\:\quad \frac{3}{2}-\frac{7}{6}=\frac{1}{3},\:\quad \frac{11}{6}-\frac{3}{2}=\frac{1}{3}[/tex]
The difference between all the adjacent terms is the same and equal
Therefore,
[tex]d=\frac{1}{3}[/tex]
Hence, we conclude that the common difference of the Arithmetic sequence is: 1/3
