Iteration Command

Iteration( <Function>, <Start Value>, <Number of Iterations> )

Iterates the function n times (n = number of iterations) using the given start value.

  • 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.

 Iteration(a^2+1,a,{(1+ί)/(sqrt(2))},5) will do a repeated iteration on a complex number

See IterationList Command for further details.