Math

Free Sequence Calculator

Arithmetic and geometric sequence terms and sums.

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Inputs

Result

Term 10

48.0000

Sum of first n terms255.0000
Common difference5.0000

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Short answer

Arithmetic and geometric sequence terms and sums.

What is the Sequence Calculator?

Arithmetic and geometric sequence terms and sums.

How does the Sequence Calculator work?

Enter the inputs above and read the result.

Formula

aₙ = a₁ + (n−1)d | aₙ = a₁ · rⁿ⁻¹

Variables

  • a₁First term
  • d / rCommon difference or ratio

Explanation

Arithmetic sequences add a constant; geometric sequences multiply by one.

Examples

Applications

    Advantages

      Limitations

        Common mistakes

          Tips

            Related concepts

            The Sequence Calculator sits inside the Math Calculators hub, in the algebra & equations cluster. Solving for unknowns and manipulating expressions. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.

            equationrootexponentlogarithmsequenceproportion

            Practical use cases and industry applications

            Understanding Sequence

            Arithmetic and geometric sequence terms and sums. Within math calculators, sequence belongs to the algebra & equations cluster, where it shares terminology and assumptions with closely related tools.

            Learning how sequence is calculated

            Arithmetic sequences add a constant; geometric sequences multiply by one. Working through the variables one at a time — a₁, d / r — makes the result reproducible by hand and easier to sanity-check.

            Using sequence to make a decision

            Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.

            How sequence compares with related measures

            equation, root, exponent, logarithm all describe adjacent aspects of algebra & equations. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.

            Frequently asked questions

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