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2   Numbers and sequences


               2.1  Counting and sequences




             We are going to …


             •  count on and back using fractions and decimals

             •  find and use the position-to-term rule of a sequence.





           In Stage 5, you learned how to use a term-to-term rule to               position-to-term rule
           find the next term in a sequence. In this unit, you will learn          term

           how to use the position-to-term rule to find any term in
           a sequence.                                                             term-to-term rule



             Position      Term


                 1            4
                                       +4
                 2           8                 The 25th term is 25 × 4 = 100.
                                       +4
                 3          12
                                       +4
                 4          16



                 Multiply by 4


             Worked example 1


             a  Follow the instructions in the flow diagram to generate a sequence.





                                                                               Is the         YES
               Start         Write down 2            Add 2                    answer                Stop
                                                                               more
                                                                             than 20?





                                                                                   NO
                                                               Write down
                                                               the answer






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