## Introduction

Welcome to the Summation Convergence Calculator tutorial. This guide will walk you through creating an HTML calculator to find the sum of a series using the formula S = a / (1 – r). Whether you’re a beginner or an experienced coder, you’ll find this step-by-step tutorial helpful in building a functional calculator.

## How to Use

To use the Summation Convergence Calculator, follow these steps:

- Input the value of the first term (a) into the designated field.
- Input the value of the common ratio (r) into the appropriate field.
- Click the “Calculate” button to compute the sum of the series (S).
- The result will be displayed on the screen.

## Formula

The formula used in this calculator is:

**S**: Sum of the series**a**: First term**r**: Common ratio

## Example

Let’s illustrate how to use the calculator with an example: Suppose a = 5 and r = 0.2. Plug these values into the formula:

So, for these inputs, the sum of the series (S) is 6.25.

## Frequently Asked Questions (FAQs)

**Q1: Can I use this calculator for any series?**

Yes, you can use this calculator for geometric series where the common ratio (r) is not equal to 1.

**Q2: What happens if I enter invalid values for a and r?**

The calculator will return an error or display “NaN” (Not-a-Number) if you input non-numeric values or if the denominator becomes zero.

**Q3: Can I use this code on my website?**

Absolutely! You can download the HTML code below and integrate it into your website.

**Q4: How can I customize the calculator’s appearance?**

You can modify the HTML and CSS code to change the calculator’s appearance to match your website’s style.

## Conclusion

By following this tutorial, you’ve learned how to create an HTML Summation Convergence Calculator. This tool will help you quickly calculate the sum of a geometric series using the formula S = a / (1 – r). Feel free to download the code and customize it to fit your website’s needs. Happy coding!