Summation Convergence Calculator

Sum of the Series (S): -



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:

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


The formula used in this calculator is:

S = a / (1 – r)
  • S: Sum of the series
  • a: First term
  • r: Common ratio


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

S = 5 / (1 – 0.2) S = 5 / 0.8 S = 6.25

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.


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!

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