We can see different patterns and series around us in our daily life. These patterns can be the patterns drawn on the print of a shirt, Pattern of the growth of the petals of a flower, patterns of the flooring in your school. We must understand the methods of the formation of patterns and the logics used in it. The patterns formed in such a way are called logical patterns. Now we look at the different mathematical patterns formed.
Let us look at some of the following series:
2 , 4 , 6 , 8, 10, 12, .. . . . . . This is the pattern of the even natural numbers. We say that these numbers are divisible by 2
1, 3, 5, 7, 9, 11, 13, 15, 17 , . . . . . . . . . . . This is the pattern of the odd numbers. We say that these numbers are not divisible by 2. Another series we take is the series of prime numbers.
2, 3, 5, 7, 11, 13, 17, 19, . . . . are all prime numbers. We say that the prime numbers are the numbers which are having only 2 factors i.e. 1 and itself.
Now we will look at the series 1, 4, 9, 25, 36, 49, . . . . . . We say that this series is the series of the numbers which are the squares of the natural numbers 1, 2, 3, 4 ,5 , 6, . . . . . etc.
We can form infinite number of such series which can be in the form of Factorials, A.P. , G.P. etc.
We can learn about Pattern Worksheets online and practice about the different types of patterns available or which can be formed. To learn about the Differential Equations we must go through CBSE Books for Class 11.
Let us look at some of the following series:
2 , 4 , 6 , 8, 10, 12, .. . . . . . This is the pattern of the even natural numbers. We say that these numbers are divisible by 2
1, 3, 5, 7, 9, 11, 13, 15, 17 , . . . . . . . . . . . This is the pattern of the odd numbers. We say that these numbers are not divisible by 2. Another series we take is the series of prime numbers.
2, 3, 5, 7, 11, 13, 17, 19, . . . . are all prime numbers. We say that the prime numbers are the numbers which are having only 2 factors i.e. 1 and itself.
Now we will look at the series 1, 4, 9, 25, 36, 49, . . . . . . We say that this series is the series of the numbers which are the squares of the natural numbers 1, 2, 3, 4 ,5 , 6, . . . . . etc.
We can form infinite number of such series which can be in the form of Factorials, A.P. , G.P. etc.
We can learn about Pattern Worksheets online and practice about the different types of patterns available or which can be formed. To learn about the Differential Equations we must go through CBSE Books for Class 11.
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