SERIESSUM
Syntax:
SERIESSUM ( input-value , initial-power , step , coefficients )
Description: Computes the sum of a power series.
Mathematical Formula:
The sum of a power series is based on the formula:
where input-value = x, initial-power = n, step = m, and coefficients is the set of a values.
Arguments:
Name |
Type |
Description |
|---|---|---|
input-value |
number |
The input value to the power series; |
initial-power |
number |
The initial power to which input-value is to be raised. |
step |
number |
The step by which to increase initial-power for each term in the series; |
coefficients |
reference |
A set of coefficients by which each successive power of input-value is multiplied. The number of values in coefficients determines the number of terms in the power series. |
Return Type and Value: number – The sum of a power series.
A |
|
|---|---|
1 |
1 |
2 |
=-1/FACT(2) |
3 |
=1/FACT(4) |
4 |
=-1/FACT(6) |
SERIESSUM(PI()/4,0,2,A1:A4) results in 0.707103, an approximation to the cosine of π/4 radians]