#### A recursive sequence is a sequence of numbers indexed by an integer and created by solving a recurrence equation. In general terms, recursive sequences or recurring sequences are those sequences which you can solve by using recurring functions. In other words, you can solve these sequences by applying the same formula repeatedly. All you need to know is the value of term or the terms before the one you are trying to find. One of the most used sequences in the calculations today is the Fibonacci series. In this series, the same formula is used, i.e. to add the previous two numbers to find the next one. There are countless other series which different researchers use in their hypothesis. So, it is better that you learn to resolve these sequences because most of the time the recurring equations are more complex.

In these worksheets, your students will work with recursive sequence. There are 6 worksheets in this set. These are moderately complex problems and a sound understanding of recurrence equations is required in order for students to be successful with these worksheets. Students will write the recursive formula for a given sequence. They will find the first four terms of a sequence. Space is provided for students to solve each problem. This set of worksheets contains step-by-step solutions to sample problems, both simple and more complex problems, a review, and a quiz. It also includes ample worksheets for students to practice independently. Most worksheets contain between eight and ten problems. When finished with this set of worksheets, students will be able to write the recursive formula for a sequence and find the initial terms of a sequence. These worksheets explain how write the recursive formula for a sequence and find the initial terms of a sequence. Sample problems are solved and practice problems are provided.