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Thread: binomial theorem as far as the term t^3

  1. #1
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    binomial theorem as far as the term t^3

    expand by the binomial theorem as far as the term $\displaystyle t^3$ , assuming that |3t| < 1; :

    $\displaystyle
    (1 - 3t)^-2
    $

    i know the answer is real easy i just forgotten how to do it thanks guys!.
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  2. #2
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    The binomial series is:

    $\displaystyle (1+x)^{m}=1+mx+\frac{m(m-1)}{2!}x^{2}+$$\displaystyle \frac{m(m-1)(m-2)}{3!}x^{3}+\frac{m(m-1)(m-2)(m-3)}{4!}x^{4}+...........$

    Just sub in $\displaystyle m=-2, \;\ x=-3t$
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