What is the Sequences Calculator (AP & GP)?

The Sequences Calculator allows you to calculate the n-th term and the sum of the first n terms for both Arithmetic Progressions (AP) and Geometric Progressions (GP). By entering the first term, either the common difference (for AP) or common ratio (for GP), and the term number, the calculator instantly provides the results. It automatically adjusts input labels depending on the sequence type and handles special cases such as a common ratio of 1 in GP. This tool is ideal for students, teachers, and anyone working with sequences, making it easy to analyze, learn, and verify sequences quickly.

How to Use:

1. Select Sequence Type: Choose Arithmetic (AP) or Geometric (GP) from the dropdown menu.
2. Enter First Term (a₁): Type the starting number of your sequence.
3. Enter Common Difference or Ratio: Input the common difference (d) for AP or common ratio (r) for GP. The label updates automatically based on your selection.
4. Enter Term Number (n): Specify which term or how many terms you want to calculate.
5. Click “Calculate”: The calculator will display the n-th term and the sum of the first n terms.
6. Review the Result: Use this information for homework, sequence exercises, or sequence analysis.