Let \(S_{1}\) be the sum of first \(2n\) 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 \(6n\) terms of the arithmetic progression is equal to - Math Practice Question | divineJEE