Loop Functions - HP 40G User Manual

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Loop functions

ITERATE
RECURSE
Σ
Matrix functions
Using mathematical functions
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The loop functions display a result after evaluating an
expression a given number of times.
Repeatedly for #times evaluates an expression in terms of
variable. The value for variable is updated each time, starting
with initialvalue.
ITERATE(expression,variable,initialvalue,
#times)
Example
2
,X,2,3) returns 256
ITERATE(X
Provides a method of defining a sequence without using the
Symbolic view of the Sequence aplet. If used with | ("where"),
RECURSE will step through the evaluation.
RECURSE(sequencename,term-n,term1,term2)
Example
RECURSE(U,U(N-1)*N,1,2)
Stores a factorial–calculating function named U1.
When you enter U1(5), for example, the function
calculates 5! (120).
Summation. Finds the sum of expression with respect to
variable from initialvalue to finalvalue.
Σ(variable=initialvalue,finalvalue,expression)
Example
Σ(C=1,5,C
2
) returns 55.
These functions are for matrix data stored in matrix variables.
See "Matrix functions and commands" on page 12-9.
U1(N)
TUPc•Ã
10-11