[" Statement 1The sum of the series "1+(1+2+4)+],[(4+6+9)+(9+12+16)+...+(361+380+400)" is "8000" ."],[" Statement "2sum_(k=1)^(n)(k^(3)-(k-1)^(3))=n^(3)," for any natural "],[" number "n" ."]

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.

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.

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 .

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'

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.

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^3for any natural number 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-l (4) Statement-1 is true, Statement-2 is true Statement-2 is not a correct explanation for Statement-l.

Statement -1 : The sum of the series (1+(1+2+3+4)+(4+5+9)+(9+12+16)+(361+380+400) "is"8000 Statement -2 : underset(k=1)overset(n)sum[k^(3)-(k-1)^(3)]=n^(3) for any natural number n .

Evaluate : sum_(k=1)^n (2^k+3^(k-1))

Evaluate : sum_(k=1)^n (2^k+3^(k-1))

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: sum_(k=1)^n(k^3-(k-1)^3)=n^3 for any natural number n. (1) Statement 1 is false, statement 2 is true (2) Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1 (3) Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1 (4) Statement 1 is true, statement 2 is false