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In this chapter
                                              umber Sequences
     Pupils should be able to:

    •      generate terms of an
         integer sequence
    •      find a term given its      9.1.1  Number patterns and sequences
         position in the sequence
    •      find simple term-to-term
                                              Investigate!
         rules


                                       Micky drew the triangles shown to
                                      form a pattern. How many lines
                                       are there In Figure 13?

                                                                          Figure 1   Figure?       Figures
                                               Understand the problem
                                               Figure 1 has   lines.
                                               Figure 2 has   lines.
                                               Figure 3 has   lines.
                                               What about the number of lines in Figure 13?

                                               Make a plan
                                               Can you make a table to see the relationship between the figure
                                               number and the number of lines?
                                                    Figure               Number of lines


                                                      2
                                                      3
                                               Look for a pattern in the number of lines in the figures.

                                               3, 5, 7,...
                                               Starting with 3 lines in Figure 1, we         to find the number
                                               of lines in the next figure.

                                               Try it out
                                               For Figure 13, how many lines do we need to add to the number of
                                               lines in Figure 1?
                                               So, the number of lines In Figure 13 =   +    x

                                               Figure 13 has        ines.

                                               Look back
                                         -»5&"
                                               Is the pattern correct?
                                               Did I  multiply correctly?
                                               Did I add the correct number to the number of lines in Figure 1?
                                               How can i check that my answer for Figure 13 is correct?



                        Terms and Sequences
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