Statement 1: The sum of the series 1+(1+2+4)+(4+6+9)+(9+12+16)+...... +(361+380+400)is8000 . Statement 2: ∑k=1n(k3−(k−1)3)=n3 for any natural number n. (1) Statement 1 is false, statement 2 is true (2) Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1 (3) Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1 (4) Statement 1 is true, statement 2 is false
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