Manuals/calci/SERIESSUM

SERIESSUM (x,n,m,coefficients)

• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x} is the power series value.
• $n$ is the initial power value.
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m} is the step value to increase the n value for each term.
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle coefficients} is the set of coefficients by which each successive power of x is multiplied.
  • SERIESSUM(), returns the sum of a power series based on the formula.

Description

• This function gives the value of the seriessum of the given set of values.
• Seriessum is defined by the following formula : Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle SERIESSUM(x,n,m,a)= a_1 x^n + a_2x^{(n+m)} + a_3x^{(n+2m)} +... + a_jx^{(n+(j-1)m)} } .
• Here Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x} is the power-series value, Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n} is the starting power value, Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m} is the increasing value of a power and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a} is the set of coefficients.
• According to the number of coefficients, the number of terms of the power series also get varies.
• For example there 5 values in coefficients, then 5 terms will be there in power series.

   This function will give the result as error when any one of the argument is non-numeric.

Examples

1. =SERIESSUM(3,2,2,[1,2,3,4,5,6]) = 3512493
2. =SERIESSUM(1,0,4,[1,2,3]) = 6
3. =SERIESSUM(2,1,5,[2,4,6,8]) = 536836
4. =SERIESSUM(0,2,4,[1,2,3,4,5]) = 0
5. =SERIESSUM(1,0,3,[1,2,3,4,5]) = 15
6. =SERIESSUM(1,1,5,[1]) = 1

Related Videos

SERIES SUM

See Also

• SUM
• PRODUCT

References

• Series sum

• List of Main Z Functions

• Z3 home