Types of Number Sequencesįollowing are the different types of patterns that are most commonly in use when we define a sequence of numbers– The terms of a sequence are all its individual numbers or elements. Sequences can be both finite and infinite. In other words, a sequence is an ordered list of numbers (or other elements like geometric objects), that often follow a specific pattern or function. The individual elements in a sequence are called terms. In mathematics, a sequence is a chain of numbers (or other objects) that usually follows a particular pattern. Through this example, we have learnt that a number of different combinations of operators can be used to define the number pattern in a sequence. We can clearly see that this sequence involved a combination of two operators, “ x “ and “ + “. Therefore, we can identify the number pattern in the given sequence as 2 n + 1, where n ≥1. What arithmetic pattern is followed by the above sequence? Let us find out. Suppose, we have been given the number pattern 1, 3, 5, 7, 9, …………. However, there are some patterns that involve a combination of these operations. Most of the number patterns are based on these four mathematical operations only. We are aware of the four operations of mathematical operators, namely, addition, subtraction, multiplication and division. In other words, patterns are a set of numbers arranged in a sequence such that they are related to each other in a specific rule. Number patterns are sequences of numbers that repeat themselves. By seeing these examples can we say that the numbers can be put in a sort of a pattern? Let us find out. Similarly, prime numbers are the numbers that are not completely divisible by any other number other than themselves and the number 1. For instance, the set of even numbers comprises of all numbers that are divisible by 2. Each set of a number has its own unique characteristic that makes it a set. We are aware of different kinds of numbers that have been defined such as natural numbers, whole numbers, decimals, fractions and so on. This means that when we think of mathematics, the first thing that comes to our mind is numbers.

The study of mathematics includes numbers and the different patterns in which they can be represented. Importance of Rules in Number Patterns and Sequences.

Triangular number sequences