What is the Geometric Sequence Calculator?

The Geometric Sequence Calculator helps you quickly find the n-th term and the sum of the first n terms of a geometric sequence. By entering the first term, the common ratio, and the term number, the calculator performs all calculations instantly, even accounting for special cases like a common ratio of 1. This tool is ideal for students, teachers, or anyone working with sequences, allowing easy tracking of terms, sums, and sequence patterns.

How to Use:

1. Enter First Term (a₁): Type the starting number of your sequence.
2. Enter Common Ratio (r): Input the factor by which each term multiplies the previous term.
3. Enter Term Number (n): Specify which term or how many terms to calculate.
4. Click “Calculate”: The calculator displays the n-th term and the sum of the first n terms.
5. Review the Result: Use this information for homework, sequence analysis, or math exercises.