Iteration Command

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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.
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.
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