Question

Tell whether the sequence is arithmetic. If it is identify the common difference 1/2, 1/3,1/4

Answer 1

For this case we have the following definition:

An arithmetic sequence is a sequence of numbers that increases or decreases by a constant amount each term.

Thus, to obtain$\frac{1}{3}$ it is necessary to subtract $\frac{1}{2}$ from the amount of $\frac{1}{6}$.

To obtain $\frac{1}{4}$ it is necessary to subtract $\frac{1}{3}$ the amount of $\frac{1}{12}$.

As it is observed, a constant quantity is not diminished since $\frac{1}{6}$ is not equal $\frac{1}{12}$.

So, the sequence is not arithmetic

Answer:

The sequence is not arithmetic