Question

Find the common difference d of the arithmetic sequence and write the next three terms: 6, 11, 16, 21 d = _____

Answer 1

The common difference d of the arithmetic sequence is 5, and the next three terms are 26, 31, and 36.

Step-by-step explanation:

To find the common difference d of the arithmetic sequence 6, 11, 16, 21, you subtract the first term from the second term or the second term from the third term, and so on. So, subtracting 6 from 11 gives us a common difference of 11 - 6 = 5.

Now, to write the next three terms of the arithmetic sequence, we simply add the common difference to the last known term, successively. The last known term is 21, so:

• The next term would be 21 + 5 = 26,
• The term after that would be 26 + 5 = 31, and
• The third term would be 31 + 5 = 36.

Therefore, the next three terms are 26, 31, and 36.