Let $S_{1}$ be the sum of first $2 n$ terms of an arithmetic progression. Let, $S_{2}$ be the sum of first $4n$ terms of the same arithmetic progression. If $\left( S _{2}- S _{1}\right)$ is $1000,$ then the sum of the first $6 n$ terms of the arithmetic progression is equal to:

  • [JEE MAIN 2021]
  • A

    $1000$

  • B

    $7000$

  • C

    $5000$

  • D

    $3000$

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