Manuals/calci/SERIESSUM

SERIESSUM(x,n,m,k)

• $x$ is the power series value.
• $n$ is the initial power value.
• $m$ is the step value to increase the n value for each term.
• $k$ is the set of coefficients by which each successive power of x is multiplied.

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 (syntax error): {\displaystyle SERIESSUM(x,n,m,a)= a_1x^n + a_2x^{(n+m)} + a_3x^{(n+2m)} + … + a_jx^{(n+(j-1)m)} } .
• Here $x$ is the power-series value, $n$ is the starting power value, $m$ is the increasing value of a power and $a$ 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