Numbers
Calculadora de progresiones aritméticas
Used by developers, writers, and creators worldwide.
An arithmetic sequence calculator builds a sequence in which each term differs from the last by a fixed common difference. Enter the first term, the common difference, and how many terms you want, and it lists the sequence, restates the parameters, gives the nth-term formula, computes that nth term directly, and totals the sequence with the arithmetic series formula. Arithmetic sequences appear whenever something increases or decreases by a steady amount, such as seating rows that grow by a constant number, evenly spaced measurements, simple-interest balances, and counting patterns. Students use the tool to master the nth-term and sum formulas and to check homework, while teachers use it to produce endless examples. Seeing the explicit list beside the closed-form nth term shows how the formula skips straight to any position, and the sum formula totals long sequences instantly. Use it to generate a sequence or sum a series.
Read the complete guide — 4 min read
Loading usage…
Free forever — no account required
How to use
- Choose your options above
- Click Generate
- Copy your result
Detailed instructions
- Enter the first term of the sequence.
- Enter the common difference.
- Choose how many terms to generate.
- Click Generate to see the sequence, nth term, and sum.
Use Cases
- •Listing the terms of an arithmetic sequence
- •Finding the nth term directly
- •Summing an arithmetic series
- •Checking sequence and series homework
- •Modelling steady step-by-step increases
Tips
- →A positive difference rises; a negative one falls.
- →The nth-term formula jumps straight to any position.
- →The sum equals the average of first and last, times n.
- →A zero difference makes every term identical.
FAQ
what is the common difference
It is the fixed amount added to each term to get the next. A positive difference makes the sequence rise, a negative one makes it fall, and a difference of zero makes every term the same.
how is the nth term found
The nth term equals the first term plus n minus one times the common difference. The tool evaluates this directly, so you can find a far-off term without listing every value leading up to it.
how is the sum computed
It uses the arithmetic series formula: the number of terms divided by two, times the quantity twice the first term plus n minus one times the difference. This averages the first and last terms across all the terms.
You might also like
Popular tools from other categories that share themes with this one.