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Arithmetic and Geometric Sequence Calculator
Calculate an exact integer arithmetic or geometric sequence term and finite sum at a one-based index.
Decimal integer first term and difference or ratio, One-based integer index
JSON sequence report
Browser only
Runs locally in your browser. Your files, pasted content and generated output are not uploaded. Reset clears this tool’s working data.
This tool needs JavaScript. If it does not load, refresh the page and try again.
How to use this tool
- Choose Arithmetic or Geometric mode.
- Enter First term, Difference/ratio and One-based n from 1 through 1,000.
- Select Calculate sequence and download sequence.json.
Examples
Arithmetic first term 3, difference 2 and n=4 give term 9 and sum 24. Geometric first term 2, ratio 3 and n=4 give term 54 and sum 80.
Limitations
- 100 digits and 128 raw UTF-16 units per scalar; n from 1 through 1,000; 4,096 intermediate digits, 64 KiB report and 30 seconds.
- Integer inputs only. Actual excessive arithmetic growth is refused; geometric ratios 0, 1 and -1 have exact finite results.
- No floating or rational ratios, full term list, inferred general recurrences, infinite series or financial interpretation.
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