Sequence & Series Calculator (Arithmetic/Geometric) interactive tool
Enter sequence parameters
nth term & partial sum
n-th term aₙ
14.0000
Sum of first n terms Sₙ
40.0000
This sequence & series calculator uses the standard formulas for arithmetic and geometric sequences to find the n-th term and the partial sum.
What Is Sequence & Series Calculator (Arithmetic/Geometric)?
A sequence & series calculator for arithmetic and geometric sequences computes n‑th terms and partial sums Sₙ. It's a convenient way to check answers in algebra and precalculus.
Arithmetic vs. Geometric Behavior
Arithmetic sequences grow (or shrink) linearly with a constant difference d, while geometric sequences grow multiplicatively with a constant ratio r. This calculator applies the standard closed‑form formulas so you can quickly see how different values of d or r change long‑term growth and total sums.
How To Use the Sequence & Series Calculator (Arithmetic/Geometric)
- Choose whether you want to work with an arithmetic sequence or a geometric sequence.
- Enter the first term a₁, the common difference d (for arithmetic) or common ratio r (for geometric), and the number of terms n.
- The sequence & series calculator will compute the n-th term aₙ using the appropriate closed-form formula.
- It will also compute the partial sum Sₙ, the sum of the first n terms in the sequence.
- Use the Example button to load a typical arithmetic or geometric sequence, or Reset to clear the inputs.