Difference between revisions of "Sum Command"
From GeoGebra Manual
Line 18: | Line 18: | ||
;Sum[<Expression f(t)>,<Variable t>,<Start Value s>,<End Value e>] | ;Sum[<Expression f(t)>,<Variable t>,<Start Value s>,<End Value e>] | ||
:Computes sum <math>\sum_{t=s}^{e}f(t)</math>. End value might be infinity. | :Computes sum <math>\sum_{t=s}^{e}f(t)</math>. End value might be infinity. | ||
+ | :{{Example|1= | ||
+ | :*<code><nowiki>Sum[i^2, i, 1, 3] </nowiki></code> returns 14. | ||
+ | :*<code><nowiki>Sum[r^i, i,0,n] </nowiki></code> returns (1-r^(n+1))/(1-r). | ||
+ | :*<code><nowiki>Sum[(1/3)^i, i,0,Infinity] </nowiki></code> returns 3/2.}} |
Revision as of 12:11, 10 August 2011
- Sum[List]
- Calculates the sum of all list elements.
- Note: This command works for numbers, points, vectors, text, and functions.
- Example:
Sum[{1, 2, 3}]
gives you the number a = 6.Sum[{x^2, x^3}]
gives you f(x) = x2 + x3.Sum[Sequence[i,i,1,100]]
gives you the number a = 5050.Sum[{(1, 2), (2, 3)}]
gives you the point A = (3, 5).Sum[{(1, 2), 3}]
gives you the point B = (4, 2).Sum[{"a","b","c"}]
gives you the text "abc".
- Sum[List, Number n of Elements]
- Calculates the sum of the first n list elements.
- Note: This command works for numbers, points, vectors, text, and functions.
- Example:
Sum[{1, 2, 3, 4, 5, 6}, 4]
gives you the number a = 10.
CAS specific syntax
Following syntax works only in CAS view
- Sum[<Expression f(t)>,<Variable t>,<Start Value s>,<End Value e>]
- Computes sum \sum_{t=s}^{e}f(t). End value might be infinity.
- Example:
Sum[i^2, i, 1, 3]
returns 14.Sum[r^i, i,0,n]
returns (1-r^(n+1))/(1-r).Sum[(1/3)^i, i,0,Infinity]
returns 3/2.