Recursive Sequence
A recursive sequence is a sequence in which terms are defined using one or more previous terms which are given.
If you know the term of an arithmetic sequence and you know the common difference , , you can find the term using the recursive formula .
Example 1:
Find the term of the arithmetic sequence if the common difference is and the term is .
If you know the term and the common ratio , , of a geometric sequence , you can find the term using the recursive formula. .
Example 2:
Write the first four terms of the geometric sequence whose first term is and whose common ratio is .