Calculates the sum of an arithmetic or geometric series.
Start with your values, or try a preset.
Enter First Term (a₁), Number of Terms (n), Series Type, Common Difference (d) - for Arithmetic Series, and Common Ratio (r) - for Geometric Series in the units shown.
Read Sum of Geometric Series, Sum of Arithmetic Series, and Total Sum in the results panel. Results update as you change the inputs.
Choose a preset to load an example, then adjust the values for your situation.
See the inputs and their calculated results.
First Term (a₁): 1; Number of Terms (n): 5; Series Type: Arithmetic; Common Difference (d) - for Arithmetic Series: 2; Common Ratio (r) - for Geometric Series: 2
Sum of Geometric Series: 0; Sum of Arithmetic Series: 25; Total Sum: 25
First Term (a₁): 2; Number of Terms (n): 10; Series Type: Arithmetic; Common Difference (d) - for Arithmetic Series: 3; Common Ratio (r) - for Geometric Series: 2
Sum of Geometric Series: 0; Sum of Arithmetic Series: 155; Total Sum: 155
First Term (a₁): 1; Number of Terms (n): 4; Series Type: Geometric; Common Difference (d) - for Arithmetic Series: 2; Common Ratio (r) - for Geometric Series: 2
Sum of Geometric Series: 15; Sum of Arithmetic Series: 0; Total Sum: 15
Use calculators for algebra, geometry, trigonometry, probability, statistics, averages, z-scores, tests, and graphing tasks.
Continue with another tool on a related topic.
This calculator demonstrates the behavior of floating-point numbers in calculations and highlights potential precision issues due to the way computers store and manipulate these numbers. It allows you to input two numbers and an operation, then displays the result and the difference between the calculated result and a more precise value.
Visualizes the graph of a polynomial function by calculating and plotting points.
Calculates the angle whose sine is a given number. The result is in radians.
Calculates the average where some data points contribute more weight than others.