How to use the formula for the sum of cubes In Javascript

Q: How to use the formula for the sum of cubes In Javascript

Recursion is used to calculate the cube sum of the first ‘n’ natural numbers. By using recursion, the function effectively breaks down the problem of finding the cube sum of ‘n’ natural numbers into smaller subproblems, making the code concise and elegant.

Using recursion

Using the reduce() method

A formula for the sum of cubes of the first ‘n’ natural numbers is used to compute the result directly. The formula is (n * (n + 1) / 2) ^ 2. This formula provides a direct and efficient way to calculate the cube sum. This approach provides a more efficient way to compute the cube sum without iterating through each natural number individually.

Example: Computing the sum of cubes for numbers from 1 to N using a closed-form mathematical formula in JavaScript

Javascript

function cubeSum(n) {
    return ((n * (n + 1)) / 2) ** 2;
  }
   
  console.log(cubeSum(6));

Output

Cube Sum of First n Natural Numbers in JavaScript

To find the cube sum, we can iterate over each natural number from 1 to ‘n’. For each number, we will cube it (multiply it by itself twice) and add the result to a running total. This means we are going to add up the cubes of each number from 1 to ‘n’.

There are different methods to cube the sum of the first n natural numbers in JavaScript which are as follows: