The 'Loop' Group Of Functions; Iterate - HP 39g Master Manual

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This is an interesting group of functions that may be of use for students
studying discrete functions and sequences.
ITERATE(expression,var.name,strt,num.iter.)
This function evaluates an expression a specified number of times, starting
with a supplied initial value an using the answer to the previous evaluation as
the value for the variable in the next evaluation.
Eg.
ITERATE(X
This answer is obtained as follows:
initial value: X=2
new value:
new value
new value
new value
Final answer: X = 15 745 023
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-1,X,2,5) gives an answer of 15745023
2
first iteration
x − = 3
2
1
X=3
second iteration
x − = 8
2
1
X=8
third iteration
x − = 63
2
1
X=63
fourth iteration
x − = 3968
2
1
X=3968
fifth iteration
x − = 15745023
2
1
269

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