Math calculator

Arithmetic Sequence Calculator

Find the nth term and sum of an arithmetic sequence.

Formulaa_n = a_1 + (n - 1)d; sum = n(a_1 + a_n)/2

Formula

Arithmetic sequence

a_n = a_1 + (n - 1)d; sum = n(a_1 + a_n)/2

First term 3, difference 4, term 10 gives 39.

FAQ6 common questions for this calculator.

FAQs

What is the common difference?+

It is the amount added from one term to the next.

Can the difference be negative?+

Yes. A negative difference makes the sequence decrease.

How does the Arithmetic Sequence Calculator calculate the result?+

For the Arithmetic Sequence Calculator, it uses the Arithmetic sequence: a_n = a_1 + (n - 1)d; sum = n(a_1 + a_n)/2. First term 3, difference 4, term 10 gives 39.

What information do I need to use the Arithmetic Sequence Calculator?+

For the Arithmetic Sequence Calculator, enter the known quantities requested by the calculator and use the units implied by the Arithmetic sequence. If a value is unknown, choose a calculator that solves for that specific variable.

How accurate is the Arithmetic Sequence Calculator?+

Arithmetic Sequence Calculator is mathematically reliable for the entered values and selected operation. It follows the Arithmetic sequence. Rounding, order of operations, and undefined cases can still affect interpretation.

What should I check before using the Arithmetic Sequence Calculator result?+

For the Arithmetic Sequence Calculator, check the input values, operation order, rounding precision, and undefined cases before using the result. Compare one changed value at a time when testing scenarios.

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Math guide

How to use the Arithmetic Sequence Calculator

Find the nth term and sum of an arithmetic sequence. The page also explains the arithmetic sequence and shows a practical example: First term 3, difference 4, term 10 gives 39.

  1. 1

    Enter your details

    Enter the values for the arithmetic sequence calculator scenario you want to check.

  2. 2

    Check the calculation

    Review the result alongside the arithmetic sequence: a_n = a_1 + (n - 1)d; sum = n(a_1 + a_n)/2.

  3. 3

    Compare scenarios

    Change one or more inputs to see how they affect the arithmetic Sequence Calculator result before you use the estimate.