Difference between revisions of "Manuals/calci/SERIESSUM"
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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> '''SERIESSUM'''(X, n, m, Coefficients) where, '''X''' - represents the input value to the power series. n ...") |
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| − | <div | + | <div style="font-size:30px">'''SERIESSUM(x,n,m,k)'''</div><br/> |
| + | *<math>x</math> is the power series value. | ||
| + | *<math>n</math> is the initial power value. | ||
| + | *<math> m</math> is the step value to increase the n value for each term. | ||
| + | *<math> k</math> 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<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. | ||
| + | *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. | ||
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| − | + | ==Examples== | |
| + | #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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| − | + | ==See Also== | |
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| − | + | ==References== | |
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Revision as of 04:16, 16 January 2014
SERIESSUM(x,n,m,k)
- is the power series value.
- is the initial power value.
- is the step value to increase the n value for each term.
- is the set of coefficients by which each successive power of x is multiplied.
is the power series value.
is the initial power value.
is the step value to increase the n value for each term.
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 (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 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
- 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