Enter the previous term in the sequence and the common difference into the calculator to determine the next term in the sequence. This calculator can also evaluate any of the variables given the others are known.

## Recursive Rule Formula

The following formula is used to calculate the next term in a sequence using a recursive rule. Variables:

a(n) = a(n-1) + d

• a(n) is the nth term in the sequence a(n-1) is the previous term in the sequence d is the common difference between the terms

To calculate the next term in a sequence using a recursive rule, take the previous term in the sequence and add the common difference. This will give you the next term in the sequence.

## What is a Recursive Rule?

A recursive rule is a mathematical rule or formula that uses the output of one step to determine the output of the next step. It is a way of defining a sequence or a pattern of numbers where each term is a function of the preceding term. This rule is often used in computer programming and mathematics, particularly in algorithms and functions, to solve complex problems by breaking them down into simpler, repetitive steps.

## How to Calculate Recursive Rule?

The following steps outline how to calculate a Recursive Rule using the formula: a(n) = a(n-1) + d.

1. First, determine the value of the previous term, a(n-1).
2. Next, determine the value of the common difference, d.
3. Next, substitute the values of a(n-1) and d into the formula: a(n) = a(n-1) + d.
4. Finally, calculate the value of the nth term, a(n).
5. After calculating the result, check your answer with the given sequence or pattern.

Example Problem:

Use the following variables as an example problem to test your knowledge.

Previous term, a(n-1) = 5

Common difference, d = 3