In these worksheets, students will write the recursive formula for a sequence and find the initial terms of a sequence.

#### 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.

# Recursive Sequence Worksheets

## Lesson

This worksheet explains how to write the recursive formula for a sequence and find the initial terms of a sequence. A sample problem is solved, and two practice problems are provided.

## Recursive Sequence Worksheet

Students will write the recursive formula for a sequence and find the initial terms of a sequence. Ten problems are provided.

## Practice

You will put all of these things to work to make you make sense of these sequences. Ten problems are provided.

## Review and Practice

The concept of how to write the recursive formula for a sequence is reviewed. A sample problem is solved. Six practice problems are provided.

## Quiz

Students will demonstrate their proficiency in writing the recursive formula for a sequence and finding the initial terms of a sequence. Ten problems are provided.

## Check

Students will write the recursive formula for a sequence and find the initial terms of a sequence. Three problems are provided, and space is included for students to copy the correct answer when given.