# Sequence Calculator Calculate arithmetic, geometric, and Fibonacci sequences, including the nth term, the first terms, and the partial sum > Canonical page: https://elysiatools.com/en/tools/sequence-calculator - **Category:** Math & Numbers - **Keywords:** sequence, arithmetic sequence, geometric sequence, fibonacci, calculator, math ## Overview The Sequence Calculator is a mathematical utility designed to instantly compute arithmetic, geometric, and Fibonacci sequences. By inputting your starting values and sequence rules, you can quickly find the nth term, generate a list of the first terms, and calculate the partial sum without relying on manual formulas. ## Inputs - **Sequence Type** (select) - **First Term** (number) - **Difference / Ratio** (number) - **Term Index (n)** (number) - **How Many Terms** (number) ## When to use - When you need to find a specific nth term in a mathematical progression without writing out the entire sequence. - When calculating the partial sum of an arithmetic or geometric series for homework or engineering formulas. - When generating the first several terms of a Fibonacci sequence for algorithmic testing or design patterns. ## How it works - Select the sequence type: arithmetic, geometric, or Fibonacci. - Enter the first term and the common difference or ratio, if applicable to your sequence. - Specify the term index (n) to find a specific value, and choose how many terms to generate in the list. - The calculator outputs the nth term, an array of the first terms, and the total sum of the generated sequence. ## Use cases - Math students verifying homework answers for arithmetic and geometric series. - Programmers generating Fibonacci numbers to test recursive algorithms or UI layouts. - Financial analysts projecting compound growth using geometric sequences. ## Frequently asked questions ### What types of sequences can I calculate? You can calculate arithmetic progressions, geometric progressions, and the Fibonacci sequence. ### What is the maximum term index I can find? You can calculate up to the 100th term (n=100) for any supported sequence. ### How many terms can I generate in the list? The tool can generate and display up to the first 25 terms of your chosen sequence. ### Does it calculate the sum of the sequence? Yes, it automatically calculates the partial sum of the terms based on your inputs. ### Do I need to provide a difference or ratio for Fibonacci? 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