Question

Tell whether the sequence is arithmetic. If it is, identify the common difference.

Answer 1

Answer:

Option A is correct not arithmetic

Explanation:

We have given terms $\frac{1}{2},{1}{3},{1}{4}$  these terms are not an arithmetic progression because

Arithmetic progression is the sequence of terms in which difference between successive and proceeding terms is same.

$d=a_2-a_1$

we can see the difference between $\frac{1}{3}$ and $\frac{1}{2}$ is $\frac{-1}{6}$

Whereas, the difference between $\frac{1}{4}$  and $\frac{1}{3}$ is $\frac{-1}{12}$.

Answer 2

The sequence is not arithmetic because 1/3 is not equal with 1/2+1/4(=3/4)
the answer is A