Series Sum Calculator

The Series Sum Calculator allows users to compute the last term and the sum of either an arithmetic or geometric series by inputting the first term, common difference, number of terms, and selecting the series type.

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How to Use the Series Sum Calculator

This guide will walk you through the steps to effectively use the Series Sum Calculator to find the last term and the sum of a series.

Step 1: Enter the First Term

Locate the input field labeled First Term (a₁). Enter the first term of your series here. This value is required and must be a number within the range of -1,000,000 to 1,000,000.

Step 2: Enter the Common Difference or Ratio

Find the input field labeled Common Difference (d) for arithmetic series, or this will be the Common Ratio for geometric series. Input the common difference or ratio in this field. It is a required field and must be a number between -1,000,000 and 1,000,000.

Step 3: Specify the Number of Terms

Search for the input field labeled Number of Terms (n). Enter how many terms your series has. This field is mandatory and should be a whole number ranging from 1 to 1,000.

Step 4: Choose the Series Type

Navigate to the input labeled Series Type. Select the type of series you are working with. Your options are:

  • Arithmetic Series
  • Geometric Series

Select the option that best fits your series.

Step 5: Calculate the Results

Once all inputs are filled in correctly, the calculator will compute the following:

  • Last Term (aₙ): The calculator will determine the last term of your series based on the inputs.
  • Sum of Series: The total sum of all terms in your series will be displayed.

The results will be formatted to two decimal places for precision.

Conclusion

This Series Sum Calculator is a powerful tool to quickly determine the final term and the sum of both arithmetic and geometric series. By following these steps, you can efficiently calculate the values you need with ease and accuracy.