Loop functions

 

The loop functions display a result after evaluating an

 

expression a given number of times.

ITERATE

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

 

ITERATE(X2,X,2,3) returns 256

RECURSE

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)672?_￿U1(N)

 

Stores a factorial–calculating function named U1.

 

When you enter U1(5), for example, the function

 

calculates 5! (120).

Σ

Summation. Finds the sum of expression with respect to

 

variable from initialvalue to finalvalue.

 

Σ(variable=initialvalue,finalvalue,expression)

 

Example

 

Σ(C=1,5,C2) returns 55.

Matrix functions

These functions are for matrix data stored in matrix variables.

See “Matrix functions and commands” on page 12-9.

Using mathematical functions

10-11