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Math Help - Impooortant

  1. #1
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    Unhappy Impooortant

    2x2x3=8, 3x3x4=10, 4x4x5=16, 8x8x9=??
    Please can u help me and tell me how you solved it ? Thannnnkss
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  2. #2
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    Re: Impooortant

    Hey Katekadah.

    It could literally be any number of sequences but each successive difference has a difference of n! The sequence {8,10,16} when looked at in terms of differences is {2!,3!} so if you apply this pattern then you get a difference of (2!,3!,4!,5!,6!,7!} which means the final number if 2! + 3! + 4! + 5! + 6! + 7! using this specific pattern.

    Remember that you can have potentially infinite numbers of sequences just like you can have infinite numbers of polynomials with specific roots.
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  3. #3
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    Re: Impooortant

    Okay thx . But so what should be the answer ? What do u think?
    Could it be any number? What do i have to reply?
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  4. #4
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    Re: Impooortant

    Using my pattern, it would be 2! + 3! + 4! + 5! + 6! + 7! which by R is:

    > 2+6+24+120+720+720*7
    [1] 5912

    So the answer using my pattern is 5912.
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  5. #5
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    Re: Impooortant

    But 5912 is the difference between 8 and x , isn't it? So the answer would be 5912+8 = 5920 ? So 8x8x9 = 5920 ?
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  6. #6
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    Re: Impooortant

    Yes you are 100% correct: add 8 to that answer to get 5920.
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  7. #7
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    Re: Impooortant

    Thanks a lot for your help but i solved that and yeah you were right. There are many possibilities
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