# Sum Command

##### Command Categories (All commands)

Sum[ <List> ]
Calculates the sum of all list elements.
Example:
• 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, 2).
• Sum[{"a", "b", "c"}] yields the text "abc".
Note: This command works for numbers, points, vectors, text, and functions.
Sum[ <List>, <Number n of Elements> ]
Calculates the sum of the first n list elements.
Example: Sum[{1, 2, 3, 4, 5, 6}, 4] gives you the number a = 10.
Note: This command works for numbers, points, vectors, text, and functions.

## CAS 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] yields 14.
• Sum[r^i, i,0,n] yields 1- r\frac{n+1}{1-r}.
• Sum[(1/3)^i, i,0,Infinity] yields \frac{3}{2}.
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