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Number Sequence Worksheet

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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.


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  • Published Sep. 3, 2007
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  1. Durf

    Durf at 12:07am on Sep. 5, 2007

    about 1 year ago

    Delete

    I think "U…S…A…" should have an "O" in it as well! I used similar things in my English classes in the countryside, but with mainly letter problems. I'd start off with fixed sequences:
    A B C D . . .
    A D G J . . .
    A Z B Y . . .
    Then I'd go to things like you end your sheet with:
    O T T F F . . .
    M T W T . . .
    F S T F F . . .
    J F M A M . . .
    And finally I'd throw some trick versions at them:
    I N S S G . . .
    G K S M . . .
    Reply...

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    1. DSCN0128.jpg

      Spike at 1:05am on Sep. 5, 2007

      Delete

      OK, ...ichi, ni, san ... but GKSM. Hmmm, I shall haveto ponder that one. Reply...

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      1. Durf

        Durf at 1:21am on Sep. 5, 2007

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        Go to bed! :-) Reply...

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        1. DSCN0128.jpg

          Spike at 1:35am on Sep. 5, 2007

          Delete

          Ok, I am off. Just not able to sleep tonight. Hope that Sakura is sleeping well htese days? Will she be scared of us when she sees us? Reply...

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          1. Durf

            Durf at 1:44am on Sep. 5, 2007

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            She sleeps well, just not at times when we'd like her to. She might fuss at the unfamiliar faces at first but will get used to them quickly. Don't worry! Reply...

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  2. sue adam

    Adam Durfee at 9:38am on Aug. 30, 2007

    about 1 year ago

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    Excellent - I won't tell you which ones slowed me down. :) Are you going to use this for tutoring? Reply...

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    1. DSCN0128.jpg

      Spike at 8:12pm on Aug. 30, 2007

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      No, becausethey pay by the hour. But I have used it many times in teaching, usually in the first week or two. It gets the parents involved. Reply...

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