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Math Help - Patterns Assignment

  1. #1
    Junior Member Nadeshiko's Avatar
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    Patterns Assignment

    Hello! Please help me on this problem. I tried and I still don't know how to do it. I'm sorry but I forgot the work that I tried. I did it in my head. Sorry. Please help me with the problem below.


    1
    2 3
    4 5 6 7
    8 9 10 11...


    Questions:
    1. How many #'s in row 30?
    2. What row is #200 in? Where is its position in that row?
    3. What # does row 12 start with?
    4. Where is #2015? Give row and position.
    5. What does row 16 end with?


    Patterns:
    Write at least 3 patterns you notice from this assignment.
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  2. #2
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    Re: Patterns Assignment

    Hey Nadeshiko.

    If there are 2^(n-1) items in row n then you can calculate 1) easily.

    Also you may want to use results regarding geometric series:

    Geometric series - Wikipedia, the free encyclopedia

    We can help you but its a good idea if you show an attempt with the above hints provided.
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  3. #3
    Junior Member Nadeshiko's Avatar
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    Re: Patterns Assignment

    I'm sorry. But can you rephrase it in a meaning that I can understand. I do not get the formula 2^(n-1). Please tell me what it means. Then maybe I can solve this problem. Thanks!
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    Re: Patterns Assignment

    Quote Originally Posted by Nadeshiko View Post
    Hello! Please help me on this problem. I tried and I still don't know how to do it. I'm sorry but I forgot the work that I tried. I did it in my head. Sorry. Please help me with the problem below.
    1
    2 3
    4 5 6 7
    8 9 10 11...
    Questions:
    1. How many #'s in row 30?
    2. What row is #200 in? Where is its position in that row?
    3. What # does row 12 start with?
    4. Where is #2015? Give row and position.
    5. What does row 16 end with?
    Patterns:
    Write at least 3 patterns you notice from this assignment.
    Quote Originally Posted by Nadeshiko View Post
    I'm sorry. But can you rephrase it in a meaning that I can understand. I do not get the formula 2^(n-1). Please tell me what it means. Then maybe I can solve this problem. Thanks!
    Because the statement of the question is so poor, I would say that reply is a good guess. But that is all- just a guess.

    I would guess that row n begins with 2^{n-1} and goes 2^{n-1},~2^{n-1}+1,~2^{n-1}+2,\cdots,~2^{n}-1.

    So row 4 is 8,~9,\cdots~15

    But remember that is just a guess as to what the question means.
    Last edited by Plato; September 21st 2013 at 03:15 PM.
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  5. #5
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    Re: Patterns Assignment

    I was guessing that you had 2^(n-1) items in each row since you have 1, 2, and 4 items in the first three rows.
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  6. #6
    Junior Member Nadeshiko's Avatar
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    Re: Patterns Assignment

    Ahhh! Yes, I already found the solution for this question. Thanks for your help. ^__^ Should I post the answer so if anybody have this kind of problem, they would be able to do the problem?
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  7. #7
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    Re: Patterns Assignment

    Its up to you: whatever floats your boat.
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