Difference between revisions of "Iteration Command"

Revision as of 10:48, 28 June 2013

Iteration[ <Function>, <Start Value>, <Number of Iterations> ]: Iterates the function n times using the given start value.; Example:
After defining f(x) = x^2 the command Iteration[f, 3, 2] gives you the result (3²)² = 81.

Example: repeated addition

To obtain the repeated addition of 7 to the number 3:

Let g(x) = x + 7, then Iteration[g, 3, 4] yields (((3+7) +7) +7) +7 = 31.

@@ Line 1: / Line 1: @@
 <noinclude>{{Manual Page|version=4.2}}</noinclude>
 {{command|function}}
-;Iteration[ <Function>,  <Number x0>, <Number n> ]:Iterates the function ''n'' times using the given start value ''x0''.
+;Iteration[ <Function>, <Start Value>, <Number of Iterations> ]
-:{{Examples|1=<div>
+:Iterates the function ''n'' times using the given start value.
-:*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''
+:{{Example| 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.</div>}}
-:*To obtain the repeated addition of 7 to the number 3: if g(x) = x+7  then <code>Iteration[g, 3, 4]</code> yields (((3+7) +7) +7) +7 = 31.</div>}}
+:{{example|1='''repeated addition'''<div>To obtain the repeated addition of 7 to the number 3:</div> <div>Let <code>g(x) = x + 7</code>, then <code>Iteration[g, 3, 4]</code> yields ''(((3+7) +7) +7) +7 = 31''.</div>}}