Arithmetic Sequence
Free Arithmetic Sequence calculator with clear step-by-step results.
About Arithmetic Sequence
An arithmetic sequence adds a constant difference between terms.
Formula
Formula
a(n) = a1 + (n−1)d; sum = n/2 × (2a1 + (n−1)d)
Worked example
With the default values below, Arithmetic Sequence returns Term a(n) of 29.00. Change any input above and every figure here is recalculated in your browser.
Inputs used
- First termminimum 0
- 2
- Common differenceminimum 0
- 3
- Term number nminimum 1
- 10
Results
- Term a(n)
- 29.00
- Sum of n Terms
- 155.00
- Difference
- 3.00
Step by step
- 1Values used
- 2Formula
- 3Term a(n)= 29.00
- 4Sum of n Terms= 155.00
- 5Difference= 3.00
Assumptions and limits
- The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 2 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
How does this calculator work?
An arithmetic sequence adds a constant difference between terms.
Why does this matter?
Terms grow linearly.