# How To Use SERIESSUM Function in Google Sheets

The SERIESSUM function in Google Sheets is useful when you need to compute the sum of a power series.

Wee can use a power series to approximate various mathematical constants and functions. However, this function is mostly used in the context of user-defined models.

The rules for using the `SERIESSUM` function in Google Sheets are as follows:

• The function requires four arguments that determine the values to input in the power series.
• The function then outputs a number which is the sum of every element in the indicated power series.

Let’s take a look at a quick demonstration of this function in use.

Let’s say we would like to approximate the value of Pi/4 radians using a power series. We know that each term has the following coefficients (1, -0.5, 0.04167, -0.0001389) and a constant of pi/4 (0.78539…). The first term is raised to the power of 0, and each term increments that power by 2. How do we determine the value of this power series?

With the `SERIESSUM` function, it becomes quite easy to solve this without having to type the entire formula yourself, which might become a tedious process for the user.

This use case is just one of many ways to use the `SERIESSUM` function in Google Sheets.

Let’s learn how to write the `SERIESSUM` function ourselves in Google Sheets and later test out the function with actual date values.

## The Anatomy of the SERIESSUM Function

The syntax of the `SERIESSUM` function is as follows:

`=SERIESSUM(x, n, m, a)`

Let’s dissect this thing and understand what each of these terms means:

• = the equal sign is how we start any function in Google Sheets.
• SERIESSUM() is our `SERIESSUM` function. It computes the sum of a power series.
• x refers to the input to the power series.
• n refers to initial power to which x must be raised.
• m refers to the additive increment.
• a refers to the values of the coefficients of the power series. It may be in the form of an array or a cell range.

## A Real Example of Using SERIESSUM Function

Let’s have a look at an example of the `SERIESSUM` function being used in a Google Sheets spreadsheet.

In the table below, we have our four arguments laid out on a table. Using the `SERIESSUM` function, we were able to come up with 12 as a result. To get the value in cell B7, we just need to type in the following formula:

`=SERIESSUM(B2,B3,B4,B5:D5)`

Let’s confirm whether this is the right answer.

In the worksheet below, we go step-by-step into how to compute the sum of the power series. Since there are three coefficients, we’ll be having three terms. Each term has a corresponding coefficient (shown in parentheses) and a constant raised to some power. The power is indicated by the argument n and grows for every succeeding term by m. Since n=1 and m=0, the power remains 1 for every term. Computing for the final answer gives us 2+4+6=12 as the final simplified equation.

In the example below, we have a different set of arguments. Manually computing for the series shows that `SERIESSUM` has produced the right result. Let’s start writing `SERIESSUM` function in Google Sheets. Head over to the next section to begin our step-by-step guide on how to use the function.

## How to Use SERIESSUM Function in Google Sheets

1. First, we must set up the arguments for our `SERIESSUM` function. As seen below, we must have values for n, m, x, and a. 2. To start using the `SERIESSUM` function, select the cell we will first put our function’s output. In this example, we’ll place our final result in cell G7. 3. Next, we just simply type the equal sign ‘=‘ to begin the function, followed by ‘SERIESSUM(‘.
4. You may encounter a tooltip box with information about the `SERIESSUM` function. This box can be minimized by clicking on the arrow in the top-right-hand side. 5. Next, we need to type in our arguments. In this case, our arguments are already placed in the proper order. We should write the last argument as a range.
Afterward, simply hit Enter on your keyboard to let the function evaluate. 1. Why does my formula return a #VALUE! error?
The `SERIESSUM` function only accepts numeric values. Non-numeric values will result in a #VALUE! error.
2. How many terms can be in my power series?
The number of terms in your power series is determined by the size of your coefficient array. If your array has a length of 20, then your power series will likewise have 20 terms.

That’s everything you need to know about the `SERIESSUM` function in Google Sheets. This step-by-step guide shows how easy it is to set up your own power series for your own custom models.

You may now use the `SERIESSUM` function in Google Sheets together with the various other Google Sheets formulas available to build powerful spreadsheet solutions.

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