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This is a group of functions that may be of use for students studying
discrete functions and sequences but are primarily of use to
programmers.
ITERATE(<expression>,<var_name>,<num>,<num>)
This function evaluates an expression in terms of a variable, starting with a supplied initial value, for a
specified number of iterations. Each iteration uses the answer to the previous evaluation as the value for the
variable in the next evaluation.
Eg.
ITERATE(X
2
- 1, X, 2, 5)
gives an answer of 15745023
This answer is obtained as follows:
initial value:
X=2
first iteration using supplied
x
2
−
1
= 3
initial value of 2.
new
value:
X=3
second
iteration
2
1
x
−
= 8
new
value
X=8
third
iteration
x
2
−
1
= 63
new
value
X=63 fourth
iteration
2
1
x
−
= 3968
new value
fifth iteration
2
1
x
−
= 15745023
Final answer: X = 15 745 023
X=3968
193