Question

If S_n denotes the sum of the cubes of the first n natural numbers and s_n denotes the sum of the first n natural numbers then find the value of \(\displaystyle\sum_{k=1}^{n}\frac{S_k}{s_k}.\)

∑ S_k/s_k [n ∈ k = 1].

Answer 1

Given in the question, S_n denotes the sum of the cubes of the first n natural numbers.

s_n denotes the sum of the first n natural numbers.

Note:

S_n denotes the sum of the cubes of the first n natural numbers. (Given data in the question).

s_n denotes the sum of the first n natural numbers.