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Thread: binomial therom

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    binomial therom

    Can I have assistance for this question please

    The expansion of (1+an)^n is given by 1-24x+252x^2-...Find values for a and n

    Could you please explain how to do this thanks

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    Senior Member integral95's Avatar
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    Re: binomial therom

    Quote Originally Posted by cos16mh View Post
    Can I have assistance for this question please

    The expansion of (1+an)^n is given by 1-24x+252x^2-...Find values for a and n

    Could you please explain how to do this thanks
    I think you mistyped it and meant
    “Smart people learn from their mistakes. But the real sharp ones learn from the mistakes of others.”
    ― Brandon Mull

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    Senior Member integral95's Avatar
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    Re: binomial therom

    Quote Originally Posted by cos16mh View Post
    Can I have assistance for this question please

    The expansion of (1+an)^n is given by 1-24x+252x^2-...Find values for a and n

    Could you please explain how to do this thanks
    Expanding the first 3 terms using Binomial thereom gives



    Equate the co-efficient with last 2 terms to get a set of simultaneous equations to solve.




    I got n = 8 and a = -3
    Last edited by integral95; 11 Feb 2018 at 10:22 PM.
    “Smart people learn from their mistakes. But the real sharp ones learn from the mistakes of others.”
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    Re: binomial therom

    ThANKS
    Could you explain how the simultaneous equations worked please

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    Senior Member integral95's Avatar
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    Re: binomial therom

    Quote Originally Posted by cos16mh View Post
    ThANKS
    Could you explain how the simultaneous equations worked please
    Substitution method, make a the subject in the first equation.



    Sub that into the 2nd equation to get



    In case you're confused, this is because





    After simplifying and solving that equation you get n = 8 then sub it back to the first equation to get a = -3
    “Smart people learn from their mistakes. But the real sharp ones learn from the mistakes of others.”
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    Re: binomial therom

    Thank you so much

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