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_{k=1}^{n} (k^3-(k-1)^3) =n^3, for any natural number {\n}. [AIEEE 2012]

Correct Answer is : Statement- 1 is true, Statement- 2 is true; Statement- 2 is a correct explanation for Statement-1.

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

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

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

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

AIEEE 2012 Solved Paper

Section: Mathematics

Question : 66 of 89

Marks: +1, -0

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

∑

k=1

(k3−(k−1)3)=n3, for any natural number n.

[AIEEE 2012]

Statement- 1 is false, Statement- 2 is true.
Statement- 1 is true, Statement- 2 is true; Statement- 2 is a correct explanation for Statement-1.
Statement- 1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
Statement- 1 is true, Statement- 2 is false.

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