Iteration Command

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.