Let \( S \) be the sum of first \( 2 \mathrm{n} \) terms of an arit...

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Let \( S \) be the sum of first \( 2 \mathrm{n} \) terms of an arithmatic progression. Let \( S_{2} \) be the sum of first \( 4 n \) 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:
\( \mathrm{P} \)
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