Answer :

Given,


To prove:



Note:


I. Sum of first n natural numbers, 1 + 2 +3+…n,



II. Sum of squares of first n natural numbers, 12 + 22 + 32+….n2,



III. Sum of cubes of first n natural numbers, 13 + 23 + 33 +…..n3,



IV. Sum of a constant k, N times,



So,



Now, the Left hand side of the condition given in the question can be written as,



The required LHS,









So,



,


With,


Hence proved.


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