AlgebraUnit 2

Distinguishing an explicit rule from a recursive rule

An explicit rule uses the index directly.

  • An explicit rule uses the index directly.
  • A recursive rule uses earlier terms, so a starting value is needed.

Example 1

State whether the rule is explicit or recursive. Explain how it gives a term.

The rule uses the index directly; no earlier term is needed.

Example 2

State whether the rule is explicit or recursive. Explain how it gives a term.

The rule uses the previous term, so the starting value is also needed.

Your turn

5 practice questions
Question 1

State whether the rule is explicit or recursive. Explain how it gives a term.

Check answer

The rule uses the index directly; no earlier term is needed.

Question 2

State whether the rule is explicit or recursive. Explain how it gives a term.

Check answer

The rule uses the previous term, so the starting value is also needed.

Question 3

State whether the rule is explicit or recursive. Explain how it gives a term.

Check answer

The rule uses the index directly; no earlier term is needed.

Question 4

State whether the rule is explicit or recursive. Explain how it gives a term.

Check answer

The rule uses the previous term, so the starting value is also needed.

Question 5

State whether the rule is explicit or recursive. Explain how it gives a term.

Check answer

The rule uses the index directly; no earlier term is needed.