Statement-1 : The sum of the series

Question:

Statement-1 : The sum of the series $1+(1+2+4)+(4+6+9)+(9+12+16)$ $+\ldots \ldots .+(361+380+400)$ is $8000 .$

Statement-2 : $\sum_{\mathrm{k}=1}^{\mathrm{n}}\left(\mathrm{k}^{3}-(\mathrm{k}-1)^{3}\right)=\mathrm{n}^{3}$, for any natural number $\mathrm{n}$.

  1. Statement–1 is true, Statement–2 is false. 

  2.  Statement–1 is false, Statement–2 is true. 

  3. Statement–1 is true, Statement–2 is true ; Statement–2 is a correct explanation for Statement–1. 

  4. Statement–1 is true, Statement–2 is true ; Statement–2 is not a correct explanation for Statement–1.


Correct Option: , 4

Solution:

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