Question

Tell whether the sequence is arithmetic. If it is, what is the common difference? 8, 12, 17, 23, . . .

Answer 1

no the sequence common difference changes from 4 to 5 to 6.

Answer 2

This is not arithmetic series.

Explanation:

8, 12, 17, 23, . . .

The common difference is calculated by subtracting the first number of the series from the second, the second number from the third, the third number from the fourth and so on.

So,
`12-8=4`

`17-12=5`

`23-17=6`

We can see that the series is not arithmetic as each number does not differ from the preceding one by a constant quantity. The difference is different each time.