Difference between revisions of "Sum Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|statistics}}
{{command|cas=true|statistics}}
 
 
;Sum[ <List> ]
 
;Sum[ <List> ]
 
:Calculates the sum of all list elements.
 
:Calculates the sum of all list elements.

Revision as of 11:32, 11 August 2015


Sum[ <List> ]
Calculates the sum of all list elements.
Examples:
  • Sum[{1, 2, 3}] yields the number a = 6.
  • Sum[{x^2, x^3}] yields f(x) = x2 + x3.
  • Sum[Sequence[ i, i, 1, 100 ]] yields the number a = 5050.
  • Sum[{(1, 2), (2, 3)}] yields the point A = (3, 5).
  • Sum[{(1, 2), 3}] yields the point B = (4, 5).
  • Sum[{"a", "b", "c"}] yields the text "abc".
Sum[ <List>, <Number of Elements> ]
Calculates the sum of the first n list elements.
Example:
Sum[{1, 2, 3, 4, 5, 6}, 4] yields the number a = 10.
Sum[ <List>, <List of Frequencies> ]
Returns the sum of given list of numbers considering the frequencies.
Example:
Sum[{1, 2, 3, 4, 5}, {3, 2, 4, 4, 1}] yields a = 40.
Note: This command works for numbers, points, vectors, text, and functions.

CAS Syntax

Sum[ <List> ]
Calculates the sum of all list elements.
Examples:
  • Sum[{1, 2, 3}] yields 6.
  • Sum[{a, b, c}] yields a + b + c.
Sum[ <Expression>, <Variable>, <Start Value>, <End Value> ]
Computes sum \sum_{t=Start Value}^{End Value}f(t). End value might be infinity.
Examples:
  • Sum[i^2, i, 1, 3] yields 14.
  • Sum[r^i, i, 0, n] yields \frac{r^{n+1} }{r - 1} - \frac{1}{r - 1}.
  • Sum[(1/3)^i, i, 0, Infinity] yields \frac{3}{2}.
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