JEE Math Practice Question
Statement-1: The sum of the series 1 + (1 + 2 + 4) + (4 + 6 + 9) + (9 + 12 + 16) +.....+ (361 + 380 + 400) is 8000. Statement-2: $$\sum\limits_{k = 1}^n {\left( {{k^3} - {{(k - 1)}^3}} \right)} = {n^3}$$, for any natural number n.
- A.Statement-1 is false, Statement-2 is true.
- B.Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
- C.Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
- D.Statement-1 is true, Statement-2 is false.
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