## 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 an = 4an-1.

### Solved Example on Recursive Formula

#### Ques: 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. a= a(n-1) / 7 where a1 = 39
B. aa= a(n-1) - 7, where a1 = 39
C. aa=7a(n-1) - 7, where a1 = 39
D. aa= a(n-1) + 7, where a1 = 39