Question

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

1/2, 1/3, 1/4

A. not Arithmetic
B. Arithmetic, common difference is 1/6
C. Arithmetic, common difference is 2/3
D. Arithmetic, common difference is 1

Answer 1

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

Answer 2

Option A is correct not arithmetic

Step-by-step explanation:

We have given terms
`(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
`(1)/(3)` and
`(1)/(2)` is
`(-1)/(6)`

Whereas, the difference between
`(1)/(4)` and
`(1)/(3)` is
`(-1)/(12)`.