Series Math Calculator
Calculate the sum of arithmetic and geometric series with step-by-step explanations.
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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.
- Select Series Type: Choose Arithmetic or Geometric from the dropdown.
- Enter Parameters:
- For Arithmetic: Provide the first term (a) and common difference (d).
- For Geometric: Provide the first term (a) and common ratio (r).
- Number of Terms: Enter a positive integer for n (e.g., 5).
- Calculate: Click the Calculate Sum button.
- 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.
Previous Results
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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.