Let \(S_1\) be the sum of first \(2 n\) terms of an arithmetic progression. Let \(S_2\) be the sum of first \(4 n\) term…

Let \(S_1\) be the sum of first \(2 n\) terms of an arithmetic 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

[JEE Main 2021, 18 Mar (Shift 2)]