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Math Help - Help with a sequence

  1. #1
    Lea
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    Help with a sequence

    I have a dozen sequences to solve where I am given the first three and have to fill in the following five. In all the cases the sequence repeats so that numbers 5 - 8 are identical with numbers 1 - 4, so that there is really only one to work out - number four. There is just this one that has me stumped:



    Its tempting to draw an eighth slice but then the next would surely have to be a one sixteenth slice and so on, and this can't be right since it would not repeat. Number five has to be the same as number one - empty. So what fits in number 4 that logically progresses to give an empty circle again? My intuition says a straight verticle line but I can't see the logic!

    Help!

    Thanks
    Lea
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  2. #2
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    2 me your 4th circle would b a third. R u getting me? Let me no if need explanaiton. I am here for you. Also let me know if you get it right.

    Quote Originally Posted by Lea View Post
    I have a dozen sequences to solve where I am given the first three and have to fill in the following five. In all the cases the sequence repeats so that numbers 5 - 8 are identical with numbers 1 - 4, so that there is really only one to work out - number four. There is just this one that has me stumped:



    Its tempting to draw an eighth slice but then the next would surely have to be a one sixteenth slice and so on, and this can't be right since it would not repeat. Number five has to be the same as number one - empty. So what fits in number 4 that logically progresses to give an empty circle again? My intuition says a straight verticle line but I can't see the logic!

    Help!

    Thanks
    Lea
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Lea
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    Thanks Eeyore.

    So something like this:

    Hmmm, not sure I can see it!

    It doesn't seem to be anything obvious so I'm starting to think there's something tricky! It'll be a while before I get the answer since its a holiday here.

    Thanks again

    Lea

    Quote Originally Posted by eeyore11 View Post
    2 me your 4th circle would b a third. R u getting me? Let me no if need explanaiton. I am here for you. Also let me know if you get it right.
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Lea View Post
    Thanks Eeyore.

    So something like this:

    Hmmm, not sure I can see it!

    It doesn't seem to be anything obvious so I'm starting to think there's something tricky! It'll be a while before I get the answer since its a holiday here.

    Thanks again

    Lea
    i'd probably guess 1/8th for the fourth circle, but then again, as you said, this is a tricky question, i'm not sure what to look out for.

    i say 1/8 because the pattern i'm seeing is this:

    1--->1/2--->1/4---> 1/8?--->...

    = 1/2^0 ---> 1/2^1 ----> 1/2^2 ----> 1/2^3?--->...
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