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 formulaFailed 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_1x^n + a_2x^{(n+m)} + a_3x^{(n+2m)} + … + a_jx^{(n+(j-1)m)} } .
• Here x is the powerseries 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 nonnumeric.

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