Difference between revisions of "Sum Command"
From GeoGebra Manual
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:* <code><nowiki>Sum(Sequence(i, i, 1, 100))</nowiki></code> yields the number ''a = 5050''. | :* <code><nowiki>Sum(Sequence(i, i, 1, 100))</nowiki></code> yields the number ''a = 5050''. | ||
:* <code><nowiki>Sum({(1, 2), (2, 3)})</nowiki></code> yields the point ''A = (3, 5)''. | :* <code><nowiki>Sum({(1, 2), (2, 3)})</nowiki></code> yields the point ''A = (3, 5)''. | ||
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:* <code><nowiki>Sum({"a", "b", "c"})</nowiki></code> yields the text ''"abc"''.</div>}} | :* <code><nowiki>Sum({"a", "b", "c"})</nowiki></code> yields the text ''"abc"''.</div>}} | ||
;Sum( <List>, <Number of Elements> ) | ;Sum( <List>, <Number of Elements> ) |
Latest revision as of 14:26, 2 December 2021
- 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({"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
The following command only works in the CAS View.
- Sum( <Expression>, <Variable>, <Start Value>, <End Value> )
- Computes sum \sum_{t=Start Value}^{End Value}f(t). End value might be infinity.
- Examples:
Sum(n^2, n, 1, 3)
yields 14.Sum(r^k, k, 0, n)
yields \frac{r^{n+1} }{r - 1} - \frac{1}{r - 1}.Sum((1/3)^n, n, 0, Infinity)
yields \frac{3}{2}.