Sequences Calculator

Explore arithmetic and geometric sequences — find the nth term and sum with a bar chart

About this calculator

The Sequences Calculator finds the nth term and sum of any arithmetic or geometric sequence and charts the first several terms as a bar graph. Enter the first term, common difference or ratio, and the position you want to reach. Useful for algebra, financial projections, and exploring patterns in mathematics.

How to use the Sequences Calculator calculator

  1. Enter the values for your problem into the input fields.
  2. Read the result — it updates instantly as you type.
  3. Check the formula and the visual explanation to follow how the answer was found.
  4. Copy the page URL to share the exact calculation.

Common examples

  • Arithmetic: a₁=2, d=3, n=10 → 10th term = 29, sum of 10 terms = 155
  • Geometric: a₁=3, r=2, n=5 → 5th term = 48, sum of 5 terms = 93
  • Arithmetic: a₁=10, d=−2, n=8 → 8th term = −4, sum of 8 terms = 24
  • Geometric: a₁=1, r=0.5, n=6 → 6th term ≈ 0.03125, sum of 6 terms ≈ 1.96875
  • Arithmetic: a₁=100, d=7, n=15 → 15th term = 198, sum of 15 terms = 2,235

Frequently asked questions

How does the Sequences Calculator calculator work?

Enter your values and the calculator applies the exact mathematical method for this problem, showing the result together with the formula it used. Everything is computed with high-precision arithmetic, so the answer you see is not limited by ordinary floating-point rounding.

When would I use the Sequences Calculator calculator?

It is useful for homework and exam preparation, for checking work done by hand, and whenever a step in a larger problem needs this calculation done quickly and reliably.

How accurate are the results?

Calculations run at 30 significant digits of precision internally. Displayed values are rounded for readability, but the underlying result is far more precise than a typical hand or pocket-calculator computation.

Can I share a specific calculation with someone else?

Yes. Every value you enter updates the URL, so copying the address bar and sharing the link reopens the exact same calculation for whoever clicks it.