JavaScript: Sum of a geometric progression
JavaScript Math: Exercise-67 with Solution
Write a JavaScript program to calculate the sum of a geometric progression.
From Wikipedia,
In mathematics, a geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms. For example, the series
is geometric, because each successive term can be obtained by multiplying the previous term by 1/2. In general, a geometric series is written as a + ar + ar2 + ar3 + ..., where a is the coefficient of each term and r is the common ratio between adjacent terms. The geometric series had an important role in the early development of calculus, is used throughout mathematics, and can serve as an introduction to frequently used mathematical tools such as the Taylor series, the complex Fourier series, and the matrix exponential.
Sample Data:
(100, 2.5, 5) -> 6443.75
(0.5, 20, Infinity) -> Error
Sample Solution:
JavaScript Code:
/**
* https://bit.ly/3gCyxWa
* first_Term: The first term of the geometric progression.
* common_Ratio: The common ratio of the geometric progression.
* num_Of_Terms: The number of terms in the progression.
*/
function sumOf_Geometric_Progression(first_Term, common_Ratio, num_Of_Terms) {
// Check if the number of terms is finite
if (!Number.isFinite(num_Of_Terms)) {
/*
If the number of Terms is Infinity, the common ratio needs to be less than 1 to be a convergent geometric progression
Article on Convergent Series: https://en.wikipedia.org/wiki/Convergent_series
*/
if (Math.abs(common_Ratio) < 1) return first_Term / (1 - common_Ratio);
// Throw an error if the geometric progression is diverging
throw new Error('The geometric progression is diverging, and its sum cannot be calculated');
}
// Calculate the sum of the geometric progression based on different scenarios
if (common_Ratio === 1) return first_Term * num_Of_Terms;
return (first_Term * (Math.pow(common_Ratio, num_Of_Terms) - 1)) / (common_Ratio - 1);
}
// Output the sum of geometric progressions for given parameters
console.log(sumOf_Geometric_Progression(100, 2.5, 5));
console.log(sumOf_Geometric_Progression(0.5, 20, Infinity));
Output:
6443.75 -------------------------------------------------------------------------------------- Uncaught Error: The geometric progression is diverging, and its sum cannot be calculated at https://cdpn.io/cpe/boomboom/pen.js?key=pen.js-3a654673-3f71-908f-113a-2a3523b2059c:14
Flowchart:
Live Demo:
See the Pen javascript-math-exercise-67 by w3resource (@w3resource) on CodePen.
Improve this sample solution and post your code through Disqus.
Previous: Twin prime of a prime number.
Next: Sum of the digits of a number.
What is the difficulty level of this exercise?
Test your Programming skills with w3resource's quiz.
It will be nice if you may share this link in any developer community or anywhere else, from where other developers may find this content. Thanks.
https://w3resource.com/javascript-exercises/javascript-math-exercise-67.php
- Weekly Trends and Language Statistics
- Weekly Trends and Language Statistics