Arithmetic sequence calculator — nth term, sum of the first n terms, and the common difference from any two terms, all in your browser.
- Runs locally
- Category Calculator
- Best for Getting a realistic range before a purchase, plan, workout, or schedule decision.
2, 5, 8, 11, 14, 17
An arithmetic sequence adds a fixed difference d each step (2, 5, 8, 11 — keep +3). A geometric sequence multiplies by a fixed ratio r each step (2, 4, 8, 16 — keep ×2). Adding makes arithmetic sequences grow in a straight line, while multiplying makes geometric ones curve up or decay fast, which is why simple counting and salary steps are arithmetic but compound interest is geometric.
What this tool does
A focused arithmetic sequence and arithmetic series calculator. Enter the first term a, the common difference d, and a count n, and read two answers at once: the nth term aₙ = a + (n-1)·d and the sum of the first n terms Sₙ = n(2a + (n-1)d)/2, which is the same as n(a + aₙ)/2. The tool lists the actual terms a, a+d, a+2d, a+3d, … so you can sanity-check the pattern by eye, and a one-click copy puts the whole sequence on your clipboard. A built-in reverse solver recovers the common difference from any two known terms and how many positions apart they sit, so if you only know the 1st term is 2 and the 4th is 11 it returns d = 3. Negative differences (a decreasing run like 20, 17, 14, 11) and fractional differences are handled, and a constant sequence with d = 0 still sums correctly to n·a. Everything runs locally in the browser with a shareable link that reopens the exact a, d and n you typed.
Tool details
- Input
- Numbers
- The page exposes text boxes, numeric controls, file pickers, or structured inputs depending on the tool.
- Output
- Live result + Copy
- The result area focuses on usable output, with copy, download, or preview actions when supported.
- Privacy
- Browser-side processing
- The main tool logic does not call an external API, so inputs normally stay in the current tab.
- Save / share
- Shareable URL state
- Key settings are encoded in the URL so another person can reopen the same setup.
- Performance budget
- Initial JS <= 9 KB
- No WASM budget is declared, keeping the tool quick to open on mobile.
- Best fit
- Calculator · Student
- Category and role tags drive related tools, internal links, and quick fit checks.
How to use
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1. Input
Paste or drop your content into the tool panel.
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2. Process
Click the button. All processing is local in your browser.
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3. Copy / Download
Copy the result or download to disk in one click.
How Arithmetic Sequence Calculator fits into your work
Use it for fast estimates, comparisons, and planning numbers before you make the final call.
Calculation jobs
- Getting a realistic range before a purchase, plan, workout, or schedule decision.
- Comparing scenarios by changing one input at a time.
- Turning rough assumptions into a number you can discuss.
Calculation checks
- Double-check units, dates, rates, and rounding assumptions.
- Treat health, finance, tax, and legal outputs as planning aids, not professional advice.
- Save the inputs that produced an important result so you can reproduce it later.
Good next steps
These links move the current task into a more complete workflow.
- 1 Geometric Sequence Calculator Geometric sequence calculator — nth term, sum of first n terms, and infinite series sum from first term a and common ratio r, all in your browser. Open
- 2 Number Sequence Generator Generate a list of numbers from start to end by step or count, with zero-padding, prefix, suffix and any separator, all in your browser Open
- 3 Fibonacci Generator First N terms, a range, or the nth value, with running sum and golden-ratio convergence, exact via BigInt, all in your browser Open
FAQ
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