Arrange the expansion of $\left(x^{1 / 2}+\frac{1}{2 x^{1 / 4}}\right)^n$ in decreasing powers of $x$.Suppose the coeff icients of the first three terms form an arithmetic progression. Then, the number of terms in the expansion having integer power of $x$ is

  • [KVPY 2010]
  • A

    $1$

  • B

    $2$

  • C

    $3$

  • D

    more than $3$

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