Chapter 12.3B, Problem 2GCE

To determine

Toenter the program into the calculator and find out the last value of N necessary to obtain an output.

Answer to Problem 2GCE

  $N=15$

Explanation of Solution

Given:

The program is executed for $A=1$ .

Calculation:

The following is the given Program-

Program: CFRAC : Prompt $A$

: Disp “INPUT TERM”

: Disp “NUMBER N, $N\ge 3$ ”

: Prompt $N$

: $1\to K$

: $A+1/A\to C$

: LBL $1$

: $A+1/C\to C$

: $K+1\to K$

: If $K<N-1$

: Then Goto $1$

: ELSE: Disp $C$

Output of the program:-

INPUT:

  $A=1$ and $N=15$ .

OUTPUT:

  $1.61803$

when the value of $N=16$ is entered, the output of the program starts to repeat the value $1.61803$ , thus it can be concluded that the last necessary value to obtain the output of the program is $N=15$