Page 122 - Maths Skill - 3
P. 122

120                                                                                                  Maths

          2. Complete the following repeated patterns.



                (a)




                (b)




                (c)



               (d)



        Number Patterns

        Numbers, arranged in a series, follow a pattern. If we find the pattern in a number series,
        then we can write the next numbers in the same series.


              Let’s Attempt

        Example:         Look for the pattern and write the next three terms of the pattern.
                         (a) 1, 3, 5, 7, 9, 11, ____, ____, ____   (b) 24, 21, 18, 15, 12, ____, ____, ____

                         (c) 1, 2, 4, 8, 16, ____, ____, ____

        Solution:        (a)    1    +2    3    +2   5     +2   7    +2    9    +2   11

                              Here, we see that the next number is two more than the previous number.
                              So, the next 3 numbers in this number series will be 13, 15 and 17.

                         (b)   24    –3   21    –3   18    –3  15    –3   12

                              Here, we see that the next number is 3 less than the previous number.
                              So, the next 3 numbers in this series will be 9, 6 and 3.

                         (c)    1    ×2   2    ×2   4    ×2    8    ×2  16

                              Here,  we  see  that  the  next  number  is  obtained  by  multiplying  the
                              previous number by 2. So, the next numbers in this series will be 32, 64

                              and 128.



                                                   Exercise 9.2

          1. Complete the following number patterns.

                (a)  2, 4, 6, 8,       ______, ______, ______, ______, ______, ______

                (b)  3, 7, 11, 15,     ______, ______, ______, ______, ______, ______
   117   118   119   120   121   122   123   124   125   126   127