Mathematical sequences are a group of terms with a certain rule that dictates a certain operation must be performed and repeated in order to get from one term to the next. The operation can be addition, subtraction, multiplication, division, or any other mathematical operation.

For example,the following is a basic numerical series: $1, 2, 3, 4, 5$

To get from one term to the next in the sequence we add $+1$. $2 = 1+1$ $3 = 2+1$ $4 = 3+1$ And so on.

A sequence is a set of ordered numbers. The numbers follow a rule that tells us how to obtain the numbers of the sequence using the previous ones. Many times the rules are governed by the operations of addition, subtraction, multiplication, division, or some combination thereof.

What types of sequences are there in mathematics?

There are many types of sequences. For example, increasing and decreasing sequences, in which the numbers are either increasing or decreasing and following a certain pattern. There are also very famous sequences that have their own name, such as the Fibonacci sequence. In this series, the two previous numbers must be added to obtain the next number.

Test your knowledge

Question 1

Look at the following set of numbers and determine if there is any property, if so, what is it?