Iteration Command

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.

Iteration[ <Expression>, <Variable Name>, ..., <Start Values>, <Number of Iterations> ]

Iterates the expression n times using the given start value. The result is then the last element of IterationList Command with the same parameters, see the manual for IterationList command for details.