algebra calculators

Arithmetic & Geometric Series Calculator

Calculate arithmetic and geometric sequences, find nth terms, and compute series sums

About this calculator

The Arithmetic & Geometric Series Calculator is a powerful tool that helps students, teachers, and professionals work with mathematical sequences and series. It can calculate individual terms in arithmetic and geometric progressions, find the nth term of any sequence, and compute the sum of series with multiple terms. This calculator is essential for algebra, precalculus, and calculus students who need to solve complex sequence problems quickly and accurately, saving time on homework and exam preparation.

How to use

Enter your sequence type (arithmetic or geometric), input the first term and common difference or ratio, then specify which term you want to find or how many terms to sum. The calculator will instantly display the nth term value and series sum, showing step-by-step calculations for better understanding.

Frequently asked questions

What's the difference between arithmetic and geometric sequences?

Arithmetic sequences add a constant difference between terms, while geometric sequences multiply by a constant ratio between consecutive terms.

Can I find any term in a sequence?

Yes, enter the first term, common difference/ratio, and position number to calculate any nth term in the sequence.

Does the calculator show the sum formula?

Yes, it displays both the final sum result and the mathematical formulas used for arithmetic and geometric series calculations.