SERIESSUM function

This article describes the formula syntax and usage of the SERIESSUMfunction in Microsoft Excel.

Description

Many functions can be approximated by a power series expansion.

Returns the sum of a power series based on the formula:

Equation

Syntax

SERIESSUM(x, n, m, coefficients)

The SERIESSUM function syntax has the following arguments:

  • X    Required. The input value to the power series.

  • N    Required. The initial power to which you want to raise x.

  • M    Required. The step by which to increase n for each term in the series.

  • Coefficients    Required. A set of coefficients by which each successive power of x is multiplied. The number of values in coefficients determines the number of terms in the power series. For example, if there are three values in coefficients, then there will be three terms in the power series.

Remark

If any argument is nonnumeric, SERIESSUM returns the #VALUE! error value.

Example

The example may be easier to understand if you copy it to a blank worksheet.

How do I copy an example?

  1. Select the example in this article.

    Important   Do not select the row or column headers.

    selecting an example from help

    Selecting an example from Help

  2. Press CTRL+C.

  3. In Excel, create a blank workbook or worksheet.

  4. In the worksheet, select cell A1, and press CTRL+V.

    Important   For the example to work properly, you must paste it into cell A1 of the worksheet.

  5. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Formulas tab, in the Formula Auditing group, click the Show Formulas button.

After you copy the example to a blank worksheet, you can adapt it to suit your needs.

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8

A

B

Coefficients

=PI()/4

1

=-1/FACT(2)

=1/FACT(4)

=-1/FACT(6)

Formula

Description (Result)

=SERIESSUM(A2,0,2,A3:A6)

Approximation to the cosine of Pi/4 radians, or 45 degrees (0.707103)

Applies To: Excel 2010, Excel Starter, Excel Online, SharePoint Online



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