Statement 1: The sum of the series 1+(1+2+4)+(4+6+9)+(9+12+16)+......+(361+380+400)is8000.Statement 2: k=1∑n(k3−(k−1)3)=n3for any natural number n.

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Statement 1: The sum of the series $1 + (1 + 2 + 4) + (4 + 6 + 9) + (9 + 12 + 16) + ......$ $+ (361 + 380 + 400) i s 8000$ .Statement 2: $k = 1 \sum n (k^{3} - (k - 1)^{3}) = n^{3}$ for any natural number n.

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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Statement 1: The sum of the series

1 + (1 + 2 + 4) + (4 + 6 + 9) + (9 + 12 + 16) + ......

+ (361 + 380 + 400) i s 8000

.Statement 2:

k = 1 \sum n (k^{3} - (k - 1)^{3}) = n^{3}

for any natural number n.

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Question Text	Statement 1: The sum of the series $1 + (1 + 2 + 4) + (4 + 6 + 9) + (9 + 12 + 16) + ......$ $+ (361 + 380 + 400) i s 8000$ .Statement 2: $k = 1 \sum n (k^{3} - (k - 1)^{3}) = n^{3}$ for any natural number n.
Answer Type	Video solution: 1
Upvotes	154