Partial Sum Calculator

The partial sum calculator helps you calculate the partial sum of arithmetic as well as geometric series.

It is also called as sum of series calculator.

Choose the series type from the drop-down menu.

Enter the first term, common difference, and number of terms if you choose the arithmetic series. You will be able to determine the arithmetic series sum.

Enter the first term, common ratio, and number of terms if you choose the geometric series. You will be able to determine the finite geometric series sum.

A partial sum refers to a series of sums in a given sequence. It starts with the first element and progresses by adding each subsequent element to the previous sum.

An arithmetic series is the sum of the terms in an arithmetic sequence. The nth partial sum can be calculated using the formula Sn = n(a1+an)/2.

A geometric series is the sum of terms in a geometric sequence. The nth partial sum of a geometric sequence can be calculated using the first term a1 and common ratio r as Sn=a1(1−rn)1−r.

Partial sum (sum of series) calculator

You might want to calculate the unit rate or determine the method for percent-fraction conversion.

References

  • 30.6 Computing Series Partial Sums. (n.d.). 30.6 Computing Series Partial Sums. https://ocw.mit.edu/ans7870/18/18.013a/textbook/HTML/chapter30/section06.html
  • van der Vaart, A. W., & Wellner, J. A. (1996). Partial-Sum Processes. Weak Convergence and Empirical Processes, 225–231. https://doi.org/10.1007/978-1-4757-2545-2_24
  • Chlebus, E. (2009). An approximate formula for a partial sum of the divergent p-series. Applied Mathematics Letters, 22(5), 732-737.
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