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Math Help - Problem Solving

  1. #1
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    Problem Solving

    Find the letter that is the 118th entry in the following sequence. Explain how you determined your answer.

    Y,R,R,Y,R,R,Y,R,R,Y,R,R,Y,R,R...

    I know the answer is Y, but I can't figure out why.

    Thanks,

    Tony
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  2. #2
    Grand Panjandrum
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    Re: Problem Solving

    Quote Originally Posted by tonysathre View Post
    Find the letter that is the 118th entry in the following sequence. Explain how you determined your answer.

    Y,R,R,Y,R,R,Y,R,R,Y,R,R,Y,R,R...

    I know the answer is Y, but I can't figure out why.

    Thanks,

    Tony
    The nth letter is Y if and only if n \equiv 1 {\text{ mod }} 3

    CB
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  3. #3
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    Re: Problem Solving

    I appreciate your reply, but I don't know what any of that means. I'm awful at math. I think the instructor is just looking for a basic answer on how to figure it out.
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  4. #4
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    Re: Problem Solving

    Well maybe you can say its the first letter, then every third letter.

    So the pattern goes, 1, 4, 7, 10, ...
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  5. #5
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    Re: Problem Solving

    Yeah that's what I had, but I didn't know if it made sense or if it was even an answer at all. Thanks again.
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