Arithmetic Sequence Calculator
Verified Calculation Engine
The online Arithmetic Sequence Calculator helps you calculate instantly and solve problems related to Sequences Series. This tool provides accurate results using standard formulas and step-by-step calculation; you can view the formula with example in the calculator where available. Whether you are a student, teacher, or professional, this calculator simplifies complex calculations and saves time. Enter the required values below and get instant results. Results are shown clearly, with optional step-by-step explanation where applicable. The tool is free to use and works in any modern browser—no download or installation required. Bookmark this page for quick access whenever you need reliable Math Numbers calculations.
Finds nth term and properties of arithmetic sequence: a_n = a + (n-1)d where a is first term and d is common difference.
nth term: a_n = a + (n-1)d
where a = first term, d = common difference
Sequence: a, a+d, a+2d, a+3d, ...
Arithmetic sequence has constant difference between consecutive terms
Inputs
Results
Worked Examples
Example 1: Basic
Find 10th term of AP: 3, 7, 11, 15, ...
- firstTerm: 3
- commonDifference: 4
- n: 10
- nthTerm: 39
- sequence: 3, 7, 11, 15, 19, 23, 27, 31, 35, 39
- formula: a_10 = 3 + (10-1)×4 = 39
Example 2: Board Level
Find 15th term of AP: 5, 2, -1, -4, ...
- firstTerm: 5
- commonDifference: -3
- n: 15
- nthTerm: -37
- sequence: 5, 2, -1, -4, -7, -10, -13, -16, -19, -22, -25, -28, -31, -34, -37
- formula: a_15 = 5 + (15-1)×(-3) = -37
About this calculator
Overview
Arithmetic Sequence Calculator evaluates Arithmetic Sequence for the math / sequences-series library. Primary input cue: First Term a [required]: First term of sequence. Method anchor: nth term: a_n = a + (n-1)d where a = first term, d = common difference Sequence: a, a+d, a+2d, a+3d, .... Arithmetic sequence has constant difference between co.
When to use
Use Arithmetic Sequence Calculator when you already know the inputs and need arithmetic sequence without setting up a spreadsheet.
Inputs explained
- First Term a [required]: First term of sequence
- Common Difference d [required]: Common difference
- Term Number n [required]: Which term to find
Formula / method
nth term: a_n = a + (n-1)d where a = first term, d = common difference Sequence: a, a+d, a+2d, a+3d, .... Arithmetic sequence has constant difference between consecutive terms (calculator id: arithmetic-sequence-calculator).
Worked example
Worked values: firstTerm = 3, commonDifference = 4, n = 10 → nthTerm = 39, sequence = [3, 7, 11, 15, 19, 23, 27, 31, 35, 39], formula = a_10 = 3 + (10-1)×4 = 39
Interpreting results
Read the primary output as arithmetic sequence under the method on this page.
Assumptions
- Arithmetic Sequence is computed only from the fields you enter on this calculator. [arithmetic-sequence-calculator]
- The wired execution function for `arithmetic-sequence-calculator` is the source of numerical behavior.
- Real-number arithmetic is used unless arithmetic sequence explicitly needs integers.
Limitations
- Edge cases outside the intended domain of arithmetic sequence may error or look unstable—treat them as out of scope.
- If multiple conventions exist for arithmetic sequence, this calculator uses the convention implemented in its engine path.
- Complex/branch cuts and undefined points are not always interactively annotated for arithmetic sequence.
Important note
Educational mathematics tool. Check edge cases and domain restrictions when results look unexpected.
How to Use This Calculator
- Enter the required values in the input fields.
- Click the Calculate button.
- View the computed result instantly.
Formula Used
nth term: a_n = a + (n-1)d where a = first term, d = common difference Sequence: a, a+d, a+2d, a+3d, .... Arithmetic sequence has constant difference between consecutive terms (calculator id: arithmetic-sequence-calculator).
Example Calculation
Worked values: firstTerm = 3, commonDifference = 4, n = 10 → nthTerm = 39, sequence = [3, 7, 11, 15, 19, 23, 27, 31, 35, 39], formula = a_10 = 3 + (10-1)×4 = 39
Frequently Asked Questions
What is Arithmetic Sequence Calculator?
- Arithmetic Sequence Calculator evaluates Arithmetic Sequence for the math / sequences-series library. Primary input cue: First Term a [required]: First term of sequence. Method anchor: nth term: a_n = a + (n-1)d where a = first term, d = common difference Sequence: a, a+d, a+2d, a+3d, .... Arithmetic sequence has constant difference between co.
How does Arithmetic Sequence Calculator work?
- nth term: a_n = a + (n-1)d where a = first term, d = common difference Sequence: a, a+d, a+2d, a+3d, .... Arithmetic sequence has constant difference between consecutive terms (calculator id: arithmetic-sequence-calculator).
Why use this Math Numbers calculator?
- Use Arithmetic Sequence Calculator when you already know the inputs and need arithmetic sequence without setting up a spreadsheet.