Answer :


To prove:


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,


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

The required LHS,




Hence proved.

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