Chapter 12.3B, Problem 10GCE

To determine

Toexecute the original program for values $A=1,N=20$ and then execute it for $A=-1,N=20$

Answer to Problem 10GCE

Difference of minus sign.

Explanation of Solution

The program is executed for $A=1,N=20$ and $A=-1,N=20$

Given:

The given sequence is

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 1:

  $A=1$ and $N=20$ .

OUTPUT 1:

  $\text{1}\text{.61818}$

INPUT 2:

  $A=-1$ and $N=20$ .

OUTPUT 2:

  $-\text{1}\text{.61818}$

The output of second input is just negative of the first input that means they only differ by minus sign.