Sum Command

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