Series Math Calculator

Calculate the sum of arithmetic and geometric series with step-by-step explanations.

isCalculator Editorial Team Published by:
Reviewed by: Review Board
Last Updated:

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How to use this tool?

This calculator computes the sum of the first n terms of an arithmetic or geometric series.

  1. Select Series Type: Choose Arithmetic or Geometric from the dropdown.
  2. Enter Parameters:
    • For Arithmetic: Provide the first term (a) and common difference (d).
    • For Geometric: Provide the first term (a) and common ratio (r).
  3. Number of Terms: Enter a positive integer for n (e.g., 5).
  4. Calculate: Click the Calculate Sum button.
  5. View Results: The total sum appears in green, with the step-by-step formula shown below.

Note: All numeric inputs accept decimals. For geometric series with r = 1, the sum simplifies to a × n.

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Frequently Asked Questions

An arithmetic series is the sum of terms in an arithmetic sequence where each term differs by a constant difference.

A geometric series is the sum of terms in a geometric sequence where each term is multiplied by a constant ratio.

Select the series type, enter the first term, common difference or ratio, and the number of terms, then click Calculate Sum.

Reviewed by Experts

Eurico José Kiala

Eurico José Kiala

Mathematician

Teacher

LinkedIn
João Lino

João Lino

Mathematician

LinkedIn
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