Arithmetic

Arithmetic

Example 1

Find the common difference and the next term of the following sequence:

3, 11, 19, 27, 35...

Step 1. To find the common difference, subtract any consecutive pair of terms.

11 - 3 = 8
19 - 11 = 8
27 - 19 = 8
35 - 27 = 8

The difference is always 8, so d = 8.

Step 2. Use the common difference to find the next term.

Since the last term was 35, adding the common difference of 8 will find the next term. The next term is 35 + 8 or 43.