Statement 1 : The sum of the series 1+(1+2+4)+(4+6+9)+(9+12+16)+….+(361 +380 +400) is 8000 Statement 1: `Sigma_(k=1)^(n) (k^3-(k-1)^3)=n^3`, for any natural number n.A. Statement 1 is fasle ,statement 2 is trueB. Statement 1 is true ,statement 2 is true , statement 2 is a correct explanation for statement 1.C. Statement 1 is true, statements 2 is true statement 2 is not a correct explanation for statement 1D. Statement 1 is true, statement 2 is false

Statement 1 : The sum of the series 1+(1+2+4)+(4+6+9)+(9+12+16)+….+(

1.	Statement 1 : The sum of the series 1+(1+2+4)+(4+6+9)+(9+12+16)+….+(361 +380 +400) is 8000 Statement 1: `Sigma_(k=1)^(n) (k^3-(k-1)^3)=n^3`, for any natural number n.A. Statement 1 is fasle ,statement 2 is trueB. Statement 1 is true ,statement 2 is true , statement 2 is a correct explanation for statement 1.C. Statement 1 is true, statements 2 is true statement 2 is not a correct explanation for statement 1D. Statement 1 is true, statement 2 is false
Answer» Correct Answer - B `T_(n)=(n-1)^(2)+(n-1)n+n^(2)` `=((n-1)^(3)-n^(3)))/((n-1)-n)=n^(3)-(n-1)^(3)` `T_(1)=1^(3)-0^(3)` `T^(2)=2^(3)-1^(3)` . . . . . . . . . . . . `T_(20)=20^(3)-19^(3)` Adding, `S_(20)=20^(3)-0^(3)=8000`