First forward into Logo 12: puzzling sums

Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.

Problem

First Forward Into Logo

Previous: FF11

 

In FF9 you looked at several different sequences of numbers.

Here are more programs that generate sequences.



 

Now consider the following procedures.
TO SUMO :X :N
PR :X
WAIT 120
SUMO :X + :N :N + 2
END



 

What do you think is happening this time?
Try 'chasing' through the procedure the values: x= 1 and n = 1.
The output from this program is given on the right.



 

Now why not experiment further by changing the fourth line?
For example:
TO SUMO :X :N
PR :X
WAIT 120
SUMO :X + :N :N + 3
END



 

Or
SUMO :X * :N :N - 3
SUMO :X + :N * 2 :N + 1
SUMO :X - :N :N + 3 Etc
Any surprises?
Image
First Forward into Logo 12: Puzzling Sums



 

1
2
5
10
17
26
37
50
65
82
101
122
stopped
in SUMO



 

2
6
8
8
6
2
-4
-12
-22
-34
-48
stopped
in SUMO



 

You might like to learn more Logo programming with Muggles, Logo and Gradients if you have not worked through it yet.