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  • Early Years Foundation Stage

First Forward Into Logo 12: Puzzling Sums

Age 11 to 18
Challenge Level Yellow star
  • 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?
turtle
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.

Related Collections

  • Learning Logo

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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