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 n ( k 3 − ( k − 1 ) 3 ) = n 3 for any natural numbe

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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 n ​ ( k 3 − ( k − 1 ) 3 ) = n 3 for any natural number n .

TestHub · Accepted Answer

Statement 1 has 20 terms whose sum is 8000 And statement 2 is true and supporting statement 1 . ∵ k th bracket is ( k − 1 ) 2 + k ( k − 1 ) + k 2 = 3 k 2 − 3 k + 1 .

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