Difference between revisions of "Manuals/calci/SERIESSUM"
Jump to navigation
Jump to search
| Line 1: | Line 1: | ||
| − | <div style="font-size:30px">'''SERIESSUM(x,n,m, | + | <div style="font-size:30px">'''SERIESSUM (x,n,m,coefficients)'''</div><br/> |
*<math>x</math> is the power series value. | *<math>x</math> is the power series value. | ||
*<math>n</math> is the initial power 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> m</math> is the step value to increase the n value for each term. | ||
| − | *<math> | + | *<math>coefficients</math> is the set of coefficients by which each successive power of x is multiplied. |
| + | **SERIESSUM(), returns the sum of a power series based on the formula | ||
==Description== | ==Description== | ||
Revision as of 15:15, 3 July 2018
SERIESSUM (x,n,m,coefficients)
- 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.
- 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 coefficients}
is the set of coefficients by which each successive power of x is multiplied.
- SERIESSUM(), returns the sum of a power series based on the formula
is the initial power value.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 (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_1 x^n + a_2x^{(n+m)} + a_3x^{(n+2m)} +... + a_jx^{(n+(j-1)m)} } .
- Here 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 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 non-numeric.
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
- =SERIESSUM(1,1,5,[1]) = 1
Related Videos
See Also
References