Question

Finding the next terms of an arithmetic sequence with integers The first three terms of an arithmetic sequence are as follows. 10, 13, 16 Find the next two terms of this sequence. help​

Answer 1

19, 22

Explanation:

Because this is an arithmetic sequence, we know there is a constant difference between each value.

To find that difference, lets take two consecutive values, (10 and 13) and subtract them.

13 - 10 = 3

We see the same number if we used

16 - 13 = 3

So the pattern here, is each number + 3.

16 + 3 = 19

19 + 3 = 22

22 + 3 = 25

etc.