## Sum of cubes of natural numbers

In this section, we will discuss the formulas of the sum of the squares of natural numbers. These formulas are very useful in various competitive exams. Sum of cubes of first n natural numbers: We determine the sum of cubes of consecutive natural numbers by the following formula: Prove that:$1^3+2^3+3^3+\cdots+n^3$ $=[\frac{n(n+1)}{2}]^2$ Proof: Let $S$ denote … Read more