How to use the formula for the sum of cubes In Javascript
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)); |
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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:
Table of Content
- Using a for-loop
- Using recursion
- Using the formula for the sum of cubes
- Using the reduce() method