Arithmetic & Geometric Sequence Calculator
Find nth terms and sums of arithmetic and geometric sequences
About this calculator
This arithmetic and geometric sequence calculator helps you find specific terms and calculate sums in mathematical sequences quickly and accurately. Whether you're working on homework, preparing for exams, or solving real-world problems involving patterns and progressions, this tool eliminates complex manual calculations. It's particularly useful for students, teachers, and professionals who need to analyze sequential data, financial projections, or mathematical patterns efficiently.
How to use
Select whether you want to work with an arithmetic or geometric sequence. Enter the first term, common difference (for arithmetic) or common ratio (for geometric), and specify which term you want to find or how many terms to sum. Click calculate to get your nth term value and sequence sum instantly.
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 both the nth term and sum simultaneously?
Yes, the calculator provides both the specific nth term value and the sum of all terms up to that position.
What if I enter a negative common difference or ratio?
The calculator handles negative values correctly, showing decreasing arithmetic sequences or alternating geometric sequences as appropriate.