Patterns in Maths In Mathematics, a pattern is a repeated arrangement of numbers, shapes, colours and so on. The Pattern can be related to any type of event or object. If the set of numbers are related to each other in a specific rule, then the rule or manner is called a pattern. Sometimes, patterns are also known as a sequence. Patterns are finite or infinite in numbers. For example, in a sequence 2,4,6,8,?. each number is increasing by sequence 2. So, the last number will be 8 + 2 = 10. Few examples of numerical patterns are: Even numbers pattern -: 2, 4, 6, 8, 10, 1, 14, 16, 18, … Odd numbers pattern -: 3, 5, 7, 9, 11, 13, 15, 17, 19, … Fibonacci numbers pattern -: 1, 1, 2, 3, 5, 8 ,13, 21, … and so on. Number Patterns A list of numbers that follow a certain sequence is known as patterns or number patterns. The different types of number patterns are algebraic or arithmetic pattern, geometric pattern, Fibonacci pattern and so on. Now, let us take a look at the three different patterns here. Arithmetic Pattern The arithmetic pattern is also known as the algebraic pattern. In an arithmetic pattern, the sequences are based on the addition or subtraction of the terms. If two or more terms in the sequence are given, we can use addition or subtraction to find the arithmetic pattern. For example, 2, 4, 6, 8, 10, __, 14, __. Now, we need to find the missing term in the sequence. Here, we can use the addition process to figure out the missing terms in the patterns. In the pattern, the rule used is “Add 2 to the previous term to get the next term”. In the example given above, take the second term (4). If we add “2” to the second term (4), we get the third term 6. Similarly, we can find the unknown terms in the sequence. First missing term: The previous term is 10. Therefore, 10+2 = 12. Second missing term: The previous term is 14. So, 14+2 = 16 Hence, the complete arithmetic pattern is 2, 4, 6, 8, 10, 12, 14, 16. Geometric Pattern The geometric pattern is defined as the sequence of numbers that are based on the multiplication and division operation. Similar to the arithmetic pattern, if two or more numbers in the sequence are provided, we can easily find the unknown terms in the pattern using multiplication and division operation. For example, 8, 16, 32, __, 128, __. It is a geometric pattern, as each term in the sequence can be obtained by multiplying 2 with the previous term. For example, 32 is the third term in the sequence, which is obtained by multiplying 2 with the previous term 16. Likewise, we can find the unknown terms in the geometric pattern. First missing term: The previous term is 32. Multiply 32 by 2, we get 64. Second missing term: The previous term is 128. Multiply 128 by 2, we get 256. Hence, the complete geometric pattern is 8, 16, 32, 64, 128, 256. Fibonacci Pattern The Fibonacci Pattern is defined as the sequence of numbers, in which each term in the sequence is obtained by adding the two terms before it, starting with the numbers 0 and 1. The Fibonacci pattern is given as 0, 1, 1, 2, 3, 5, 8, 13, … and so on. Explanation: Third term = First term + Second term = 0+1 = 1 Fourth term = second term + Third term = 1+1 = 2 Fifth term = Third term + Fourth term = 1+2 = 3, and so on.

Patterns in Maths In Mathematics, a pattern is a repeated arrangement of numbers, shapes, colours and so on. The Pattern can be related to any type of event or object. If the set of numbers are related to each other in a specific rule, then the rule or manner is called a pattern. Sometimes, patterns are also known as a sequence. Patterns are finite or infinite in numbers. For example, in a sequence 2,4,6,8,?. each number is increasing by sequence 2. So, the last number will be 8 + 2 = 10. Few examples of numerical patterns are: Even numbers pattern -: 2, 4, 6, 8, 10, 1, 14, 16, 18, … Odd numbers pattern -: 3, 5, 7, 9, 11, 13, 15, 17, 19, … Fibonacci numbers pattern -: 1, 1, 2, 3, 5, 8 ,13, 21, … and so on. Number Patterns A list of numbers that follow a certain sequence is known as patterns or number patterns. The different types of number patterns are algebraic or arithmetic pattern, geometric pattern, Fibonacci pattern and so on. Now, let us take a look at the three different patterns here. Arithmetic Pattern The arithmetic pattern is also known as the algebraic pattern. In an arithmetic pattern, the sequences are based on the addition or subtraction of the terms. If two or more terms in the sequence are given, we can use addition or subtraction to find the arithmetic pattern. For example, 2, 4, 6, 8, 10, __, 14, __. Now, we need to find the missing term in the sequence. Here, we can use the addition process to figure out the missing terms in the patterns. In the pattern, the rule used is “Add 2 to the previous term to get the next term”. In the example given above, take the second term (4). If we add “2” to the second term (4), we get the third term 6. Similarly, we can find the unknown terms in the sequence. First missing term: The previous term is 10. Therefore, 10+2 = 12. Second missing term: The previous term is 14. So, 14+2 = 16 Hence, the complete arithmetic pattern is 2, 4, 6, 8, 10, 12, 14, 16. Geometric Pattern The geometric pattern is defined as the sequence of numbers that are based on the multiplication and division operation. Similar to the arithmetic pattern, if two or more numbers in the sequence are provided, we can easily find the unknown terms in the pattern using multiplication and division operation. For example, 8, 16, 32, __, 128, __. It is a geometric pattern, as each term in the sequence can be obtained by multiplying 2 with the previous term. For example, 32 is the third term in the sequence, which is obtained by multiplying 2 with the previous term 16. Likewise, we can find the unknown terms in the geometric pattern. First missing term: The previous term is 32. Multiply 32 by 2, we get 64. Second missing term: The previous term is 128. Multiply 128 by 2, we get 256. Hence, the complete geometric pattern is 8, 16, 32, 64, 128, 256. Fibonacci Pattern The Fibonacci Pattern is defined as the sequence of numbers, in which each term in the sequence is obtained by adding the two terms before it, starting with the numbers 0 and 1. The Fibonacci pattern is given as 0, 1, 1, 2, 3, 5, 8, 13, … and so on. Explanation: Third term = First term + Second term = 0+1 = 1 Fourth term = second term + Third term = 1+1 = 2 Fifth term = Third term + Fourth term = 1+2 = 3, and so on.