Smart Math guide · Advanced Math Ideas

Recognize Arithmetic Sequences

An arithmetic sequence changes by a constant difference.

All levelsWorked example includedSelf-check included
The method

How to use it

  1. Subtract consecutive terms to find d.
  2. Use a_n=a_1+(n−1)d.
  3. Check several terms.
Worked example

See it in action

5,8,11,... has d=3, so a_10=5+9×3=32.

Check your thinking

How to verify it

Starting at 5 and adding 3 nine times gives 32.