What is the Series Sum Calculator (AP & GP)?

The Series Sum Calculator computes the sum of the first n terms of an Arithmetic Series (AP) or a Geometric Series (GP). By entering the first term, the common difference (for AP) or common ratio (for GP), and the number of terms, the calculator quickly provides the series sum. It automatically adjusts input labels based on the selected series 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, enabling easy calculation of series sums for homework, exercises, or sequence analysis.

How to Use:

1. Select Series Type: Choose Arithmetic (AP) or Geometric (GP) from the dropdown menu.
2. Enter First Term (a₁): Type the starting value of the series.
3. Enter Common Difference or Ratio: Input the common difference (d) for AP or the common ratio (r) for GP. The label updates automatically based on your selection.
4. Enter Number of Terms (n): Specify how many terms to sum.
5. Click “Calculate”: The calculator displays the sum of the first n terms.
6. Review the Result: Use this sum for solving problems, verifying series calculations, or analyzing patterns in sequences.