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Write the general term for the binomial expansion of (a + (x)/(2))ⁿ.

Mathematics

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2 steps
  1. Write the general term for the binomial expansion of (a+x2)n\left(a + \frac{x}{2}\right)^n.

    The general term Tr+1T_{r+1} is given by:

    Tr+1=(nr)an−r(x2)rT_{r+1} = \binom{n}{r} a^{n-r} \left(\frac{x}{2}\right)^r Tr+1=(nr)an−rxr2rT_{r+1} = \binom{n}{r} a^{n-r} \frac{x^r}{2^r}

    The coefficient of xrx^r is (nr)an−r12r\binom{n}{r} a^{n-r} \frac{1}{2^r}.

  2. Use the given

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