AlgebraUnit 2

Writing a recursive arithmetic sequence rule

A recursive rule gives a term from the previous term.

  • A recursive rule gives a term from the previous term.
  • Give the starting value and the rule , for .

Example 1

Write a recursive rule for this sequence, starting at .

4, 7, 10, 13. +3. +3. +3

Example 2

Write a recursive rule for this sequence, starting at .

20, 15, 10, 5. -5. -5. -5

Remember
Always state whether the first term is or .

Your turn

5 practice questions
Question 1

Write a recursive rule for this sequence, starting at .

6, 10, 14, 18.
Check answer6, 10, 14, 18. +4. +4. +4
Question 2

Write a recursive rule for this sequence, starting at .

7, 5, 3, 1.
Check answer7, 5, 3, 1. -2. -2. -2
Question 3

Write a recursive rule for this sequence, starting at .

8, 15, 22, 29.
Check answer8, 15, 22, 29. +7. +7. +7
Question 4

Write a recursive rule for this sequence, starting at .

9, 6, 3, 0.
Check answer9, 6, 3, 0. -3. -3. -3
Question 5

Write a recursive rule for this sequence, starting at .

10, 13, 16, 19.
Check answer10, 13, 16, 19. +3. +3. +3
← All Algebra cardsReport a mistake