# Iteration Command

From GeoGebra Manual

- 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 (3^{2})^{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.

- After defining

- 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. **Example:**:`Iteration(a^2+1,a,{(1+ί)/(sqrt(2))},5)`

will do a repeated iteration on a complex number

**Note:**See IterationList Command for further details.