# What is the nth term rule?

## What is the nth term rule?

You can always find the ‘nth term’ by using this formula: nth term = dn + (a – d) Where d is the difference between the terms, a is the first term and n is the term number.

## How do you find the rule of an arithmetic sequence?

An arithmetic sequence is a sequence where the difference between each successive pair of terms is the same. The explicit rule to write the formula for any arithmetic sequence is this: an = a1 + d (n – 1)

**How do you find the arithmetic mean?**

It simply involves taking the sum of a group of numbers, then dividing that sum by the count of the numbers used in the series. For example, take the numbers 34, 44, 56, and 78. The sum is 212. The arithmetic mean is 212 divided by four, or 53.

**How do you find the term to term rule?**

To work out the term to term rule, give the starting number of the sequence and then describe the pattern of the numbers. The first number is 3. The term to term rule is ‘add 4’. Once the first term and term to term rule are known, all the terms in the sequence can be found.

### What are the rules of arithmetic?

The arithmetic operations include four basic rules that are addition, subtraction, multiplication, and division.

### What is the formula for nth term?

You can always find the ‘nth term’ by using this formula: nth term = dn + (a – d) Where d is the difference between the terms, a is the first term and n is the term number.

**How do you find the next terms in an arithmetic sequence?**

First, find the common difference for the sequence. Subtract the first term from the second term. Subtract the second term from the third term. Subtract the third term from the fourth term. To find the next value, add to the last given number.

**What is the formula of the n-th term of this sequence?**

Answer: The explicit formula for the nth term of the sequence 1,0,1,0 is an = 1/2 + 1/2 (−1)^n , wherein the index starts at 0. Question: What is the set builder notation of an empty set?

#### How to find any term of an arithmetic sequence?

Method 3 of 4: Finding the Nth Term of an Arithmetic Sequence Identify the first term of the sequence. Not every sequence begins with the numbers 0 or 1. Define your common difference as d. Find the common difference for the sequence as before. Use the explicit formula. Fill in your information to solve the problem.