Difference between revisions of "Manuals/calci/SERIESSUM"

Revision as of 03:18, 16 January 2014

SERIESSUM(x,n,m,k)

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 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 k} is the set of coefficients by which each successive power of x is multiplied.

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, 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 nonnumeric.

SERIESSUM(3,2,2,{1,2,3,4,5,6}) = 3512493
SERIESSUM(1,0,4,{1,2,3}) = 6
SERIESSUM(2,1,5,{2,4,6,8}) = 536836
SERIESSUM(0,2,4,{1,2,3,4,5}) = 0
SERIESSUM(1,0,3,{1,2,3,4,5}) = 15

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 *This function gives the value of the seriessum of the given set of values.
 *Seriessum is defined by the following formula<math>:SERIESSUM(x,n,m,a)= a_1x^n + a_2x^{(n+m)} + a_3x^{(n+2m)} + … + a_jx^{(n+(j-1)m)}  </math>.
-*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.
+*Here <math>x</math> is the powerseries value, <math>n</math> is the starting power value, <math>m</math> is the increasing value of a power and <math>a</math> 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==