Let S n denote the sum of the cubes of first n natural numbers, and s n denote the sum of first n natural numbers. Then write the value of

Question

Philoid · Accepted Answer

To find

Let I = …… (1)

Given,

Substituting in equation (1)

We know by property that:

∑axⁿ + bx^{n - 1} + cx^{n - 2}…….d₀=a∑xⁿ + b∑x^{n - 1} + c∑x^{n - 2}…….. + d₀∑1

Thus

And We know

Substituting the values