Question

The common difference of the arithmetic sequence

Answer 1

Answer:

its 1/3

Step-by-step explanation:

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Answer 2

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

$\frac{5}{6}-\frac{1}{2}=\frac{1}{3},\:\quad \frac{7}{6}-\frac{5}{6}=\frac{1}{3},\:\quad \frac{3}{2}-\frac{7}{6}=\frac{1}{3},\:\quad \frac{11}{6}-\frac{3}{2}=\frac{1}{3}$

The difference between all the adjacent terms is the same and equal

Therefore,

$d=\frac{1}{3}$

Hence, we conclude that the common difference of the Arithmetic sequence is: 1/3