Difference between revisions of "Iteration Command"

Revision as of 09:28, 9 October 2017

Iteration( <Function>, <Start Value>, <Number of Iterations> )

Iterates the function n times (n = number of iterations) using the given start value.

Examples:

After defining f(x) = x^2 the command Iteration(f, 3, 2) gives you the result (3²)² = 81.
Repeated addition: To obtain the repeated addition of 7 to the number 3, define g(x) = x + 7, then Iteration(g, 3, 4) yields (((3+7) +7) +7) +7 = 31.

Iteration( <Expression>, <Variable Name>, ..., <Start Values>, <Number of Iterations> ): Iterates the expression n times (n = number of iterations) using the given start value. The result is then the last element of the output of IterationList Command, with the same parameters.

Note: See IterationList Command for further details.

@@ Line 3: / Line 3: @@
 :Iterates the function ''n'' times (''n'' = number of iterations) using the given start value.
 :{{Examples| 1=<div>
-:*After defining <code>f(x) = x^2</code> the command <code>Iteration[f, 3, 2]</code> gives you the result (3<sup>2</sup>)<sup>2</sup> = 81.
+:*After defining <code>f(x) = x^2</code> the command <code>Iteration(f, 3, 2)</code> gives you the result (3<sup>2</sup>)<sup>2</sup> = 81.
-:*''Repeated addition'': To obtain the repeated addition of 7 to the number 3, define <code>g(x) = x + 7</code>, then <code>Iteration[g, 3, 4]</code> yields (((3+7) +7) +7) +7 = 31.</div>}}
+:*''Repeated addition'': To obtain the repeated addition of 7 to the number 3, define <code>g(x) = x + 7</code>, then <code>Iteration(g, 3, 4)</code> yields (((3+7) +7) +7) +7 = 31.</div>}}
 ;Iteration( <Expression>, <Variable Name>, ..., <Start Values>, <Number of Iterations> )