Number Sequence Worksheet

Math                                                   Name ______________________
Number (and letter) Sequence Problems

So now that you are getting so smart in math, let’s see if you can solve the following number sequence problems.  At the end of each sequence, write briefly the rule or rules for each sequence (some problems involve more than one step).  Some spaces have been filled in to help you know if you are correct or not.  If a period appears at the end of a sequence, it means that the sequence ends with that number.  Good luck!  Be especially creative with #13, 16 and 17.  Good luck!

1.  1, 2, 3, 4, ____, ____, ____, 8,  ____ ,   (add 1)

2.  3, 6, 9, 12, ____, ____, ____, 24, ____,        (add ____)

3.  2, 4, 8, 16, ____, ____, 128, ____,         (            )

4.  2, 4, 3, 6, 5,____,9, ____, ____, ____, 33,      (                    )

5.  40, 20, 10, 5, ____, ____, ____,     (                    )

6.  1, 4, 9, ____, 25, ____, ____, ____, 81, (                        )

7.  1, 3, 7, 15, 31, ____, 127, ____, ____,     (                    )

8.  1, 4, 10, 22, ____, 94, ____, ____, ____,     (                    )

9.  1, 4, 25, ____, 458329,         (                        )

10. 1, 3, 13, 63, 313, _____, _____, 39063,      (                    )

11. 120, 64, 36, ____, ____, 11.5, ____, ____,     (                )

12. 1, 3, 6, 10, 15, ____, ____, ____, ____, 55, (                    )

13. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, ____, ____, ____,  ____,59,  (             )
        

14. 1, 8, 27, 64, ____, ____, ____, 512, ____, ____,     (                )
15.  5040, 720, 120, 24, ____, ____, ____, ____, E. (                )
16.  31, 28, 31, 30, 31, 30, 31, 31, ____, ____, ____, 31. (            )
17.  8, 5, 4, 9, 1, ____, 6, ____, ____, 0.    (                )

18. 1,  0.875,  0.75,  0.625,  _____, _____,  0.25, _____, _____, _____, _____,
    
    (                    )

And since not all of the important things in life involve math, here are two more sequences with letters!  Oh joy!


19.  O, T, T, F, F, S, S, ____, ____, ____, ____, T, T, …   (                                    )

20.  I…P…A…T…T…F…O…T…U…S…A…____…____….____, (      )



Answers to # sequence are available from me.  Just ask.