If the first term of an $A.P.$ is $3$ and the sum of its first $25$ terms is equal to the sum of its next $15$ terms, then the common difference of this $A.P.$ is :

  • [JEE MAIN 2020]
  • A

    $\frac{1}{4}$

  • B

    $\frac{1}{5}$

  • C

    $\frac{1}{7}$

  • D

    $\frac{1}{6}$

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  • [JEE MAIN 2023]