6,9,12,15 ... is an example of an infinite arithmetic series. True or False?

True

Step-by-step explanation:

The given sequence is 6,9,12,15 ...

There is no end term. So, the sequence is infinite.

Now, a sequence is arithmetic if the difference between consecutive terms are equal. This difference is common difference.

9 - 6 = 3

12 - 9 = 3

15 - 12 = 3

We can see that the difference is equal. Hence, it is AP.

Therefore, we can conclude that 6,9,12,15 ... is an example of an infinite arithmetic series.

Thus, the give statement is true.

As there are no constraints, and a series of periods is displayed after the beginning of the sequence, it is implied that the series is infinite.

True.