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Math Help - Nth Term

  1. #1
    Senior Member Mukilab's Avatar
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    Nth Term

    Given this sequence: 9,99,999 (etc)

    Find the nth term :/

    It looks so simple yet I just can't think of how to solve this.

    Pointers/advice please?


    Pretty sure it's not going to be quadratic or anything along those lines...
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  2. #2
    MHF Contributor
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    Talking

    Quote Originally Posted by Mukilab View Post
    Given this sequence: 9,99,999 (etc)

    Find the nth term
    Where are you stuck? For n = 1, you have 9; for n = 2, you have 99, for n = 3, you have 999.

    Quote Originally Posted by Mukilab View Post
    Pretty sure it's not going to be quadratic or anything along those lines...
    Why would the n-th term be a quadratic polynomial, instead of n 9's in a row? Or are you saying that you are supposed to find a formula for the n-th term?
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  3. #3
    Senior Member Mukilab's Avatar
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    Sorry, yes, the nth term

    argh not again.


    The FORMULA for the nth term :P
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  4. #4
    MHF Contributor Amer's Avatar
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    Quote Originally Posted by Mukilab View Post
    Given this sequence: 9,99,999 (etc)

    Find the nth term :/

    It looks so simple yet I just can't think of how to solve this.

    Pointers/advice please?


    Pretty sure it's not going to be quadratic or anything along those lines...
    can you find nth term for

    10,100,1000,10000, ...

    what is the relation between mine and your if you find nth term for mine it is easy to find yours
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  5. #5
    Senior Member Mukilab's Avatar
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    Quote Originally Posted by Amer View Post
    can you find nth term for

    10,100,1000,10000, ...

    what is the relation between mine and your if you find nth term for mine it is easy to find yours
    if I could find the nth term for yours I wouldn't be posting here would I?
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  6. #6
    MHF Contributor Amer's Avatar
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    second term is the first multiplied with 10 and third is the second multiplied by 10 etc

    10,10^2,10^3, ...

    the n-th term

    10^n

    yours

    10^n -1
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