# What are the different types of sequence of numbers?

Table of Contents

## What are the different types of sequence of numbers?

1 Arithmetic Sequences. An Arithmetic Sequence is made by adding the same value each time. 2 Geometric Sequences. A Geometric Sequence is made by multiplying by the same value each time. 3 Special Sequences 4 Triangular Numbers. 5 Square Numbers 6 Cube Numbers 7 Fibonacci Numbers. 8 Other Sequences.

### What is an arithmetic sequence in math?

Arithmetic Sequences. An Arithmetic Sequence is made by adding the same value each time. This sequence has a difference of 3 between each number. The pattern is continued by adding 3 to the last number each time, like this: This sequence has a difference of 5 between each number.

#### What are some of the most famous mathematical sequences?

Only a few of the more famous mathematical sequences are mentioned here: (1) Fibonacci Series : Probably the most famous of all Mathematical sequences; it goes like this—- 1,1,2,3,5,8,13,21,34,55,89… At first glance one may wonder what makes this sequence of numbers so sacrosanct or important or famous.

**How do you find the sequence of triangular numbers?**

The sequence of triangular numbers is: 0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, …. (c) Pentagonal number Series: A pentagonal number is a figurate number that extends the concept of triangular and square numbers to the pentagon. A pentagonal is given by the formula: for n ≥ 1.

**What is the next number in the Fibonacci sequence?**

The Fibonacci Sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34,… The next number is found by adding up the two numbers before it: the 2 is found by adding the two numbers before it (1+1),

## What are the most common patterns of arithmetic sequences?

Here we list the most common patterns and how they are made. An Arithmetic Sequence is made by adding the same value each time. 1, 4, 7, 10, 13, 16, 19, 22, 25, This sequence has a difference of 3 between each number. 3, 8, 13, 18, 23, 28, 33, 38, This sequence has a difference of 5 between each number.

### How do you find the Missing numbers in a sequence?

Finding Missing Numbers. To find a missing number, first find a Rule behind the Sequence. Sometimes we can just look at the numbers and see a pattern: Answer: they are Squares (1 2=1, 2 2=4, 3 2=9, 4 2=16.) Rule: x n = n 2. Sequence: 1, 4, 9, 16, 25, 36, 49,