Calculate the sum of arithmetic and geometric finite series.
Series Configuration
Summation Results
55
Total Sum (Sₙ)
Results for the finite series summation
Last Term (aₙ)10
Current n10
About this calculator
What is a Finite Series?
A finite series is the sum of a finite number of terms in a sequence. The two most common types are Arithmetic Series (where each term increases by a constant difference) and Geometric Series (where each term is multiplied by a constant ratio).
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Pro Tips
Arithmetic Progression: Commonly used in simple interest calculations and linear growth models.
Geometric Progression: Fundamental for compound interest, population growth, and radioactive decay.
Notation: The Greek letter Σ (Sigma) is used to denote the sum of a series.
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Fun Facts
"Carl Friedrich Gauss, as a child, reportedly summed the integers from 1 to 100 in seconds by noticing the pattern (1+100), (2+99), etc."
"Geometric series with a ratio between -1 and 1 can sum to a finite value even if they have an infinite number of terms."
"The sum of the first n odd numbers is always n²."
