Recursive Formula

Definition of Recursive Formula            

  • Recursive formula is a formula that is used to determine the next term of a sequence using one or more of the preceding terms.

Examples of Recursive Formula

  • The recursive formula for the sequence 5, 20, 80, 320, ... is .

Solved Example on Recursive Formula

The first term in a sequence is 39. Each term after the first term is 7 more than the term before it. Find the recursive formula for the sequence.

Choices:

A.

B.

C.

D.

Correct Answer: D

Solution:

Step 1:                   [First term = 39.]

Step 2:   [Each term is 7 more than the term before it.]

Step 3:

Step 4:                                  [This is a recursive formula.]

Step 5: The recursive formula for the sequence is .

                                  

Related Terms for Recursive Formula

  • Term
  • Formula
  • Sequence

                                                    

Additional Links for Recursive Formula