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.

Age
11 to 18
Challenge level
filled star empty star empty star
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

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?
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.