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BCECE Engineering BCECE Engineering Solved Paper-2001

  • question_answer
    If \[n=2m,\]then the middle term in the expansion of \[{{(x+a)}^{n}}\]will be:

    A)  \[m\,th\]                           

    B)  \[(n-1)\,th\]     

    C)         \[(m+1)th\]      

    D)         \[(m+2)th\]

    Correct Answer: C

    Solution :

    Since, \[n=2m,\]i.e., n is even, so the middle term in the expansion of\[{{(x+a)}^{n}}\]is\[\left( \frac{2m}{2}+1 \right)th\] \[\text{=}\,\text{(m}\,\text{+}\,\text{1)}\,\text{th}\,\,\text{term}\]


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