Difference between revisions of "Manuals/calci/SERIESSUM"

Revision as of 17:15, 20 July 2017

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.

This function gives the value of the seriessum of the given set of values.
Seriessum is defined by the following formula : $SERIESSUM(x,n,m,a)=a_{1}x^{n}+a_{2}x^{(n+m)}+a_{3}x^{(n+2m)}+...+a_{j}x^{(n+(j-1)m)}$ .
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.

=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
=SERIESSUM(1,1,5,[1]) = 1

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 ==Description==
 *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>.
+*Seriessum is defined by the following formula : <math>SERIESSUM(x,n,m,a)= a_1 x^n + a_2x^{(n+m)} + a_3x^{(n+2m)} +... + a_jx^{(n+(j-1)m)}  </math>.
 *Here <math>x</math> is the power-series 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.