Sum Command
From GeoGebra Manual
Revision as of 09:52, 18 July 2013 by MagdalenaSophieF (talk  contribs)
 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) = x^{2} + x^{3}. 
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, 2). 
Sum[ {"a", "b", "c"} ]
yields the text "abc".

 Note: This command works for numbers, points, vectors, text, and functions.
 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.
 Note: This command works for numbers, points, vectors, text, and functions.
 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.
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}  1}{r  1}. 
Sum[(1/3)^i, i, 0, Infinity]
yields \frac{3}{2}.
