Skip over navigation
Cambridge University Faculty of Mathematics NRich logo
menu search
  • Teachers expand_more
    • Early years
    • Primary
    • Secondary
    • Post-16
    • Events
    • Professional development
  • Students expand_more
    • Primary
    • Secondary
    • Post-16
  • Parents expand_more
    • Early Years
    • Primary
    • Secondary
    • Post-16
  • Problem-Solving Schools
  • About NRICH expand_more
    • About us
    • Impact stories
    • Support us
    • Our funders
    • Contact us
  • search

Or search by topic

Number and algebra

  • The Number System and Place Value
  • Calculations and Numerical Methods
  • Fractions, Decimals, Percentages, Ratio and Proportion
  • Properties of Numbers
  • Patterns, Sequences and Structure
  • Algebraic expressions, equations and formulae
  • Coordinates, Functions and Graphs

Geometry and measure

  • Angles, Polygons, and Geometrical Proof
  • 3D Geometry, Shape and Space
  • Measuring and calculating with units
  • Transformations and constructions
  • Pythagoras and Trigonometry
  • Vectors and Matrices

Probability and statistics

  • Handling, Processing and Representing Data
  • Probability

Working mathematically

  • Thinking mathematically
  • Developing positive attitudes
  • Cross-curricular contexts

Advanced mathematics

  • Decision Mathematics and Combinatorics
  • Advanced Probability and Statistics
  • Mechanics
  • Calculus

For younger learners

  • Early Years Foundation Stage

First Forward Into Logo 11: Sequences

Age 11 to 18
Challenge Level Yellow star
  • Problem

First Forward Into Logo
Previous: FF10

Consider the following procedure which uses two variables:
(Warning - you may have to press HALT to stop this procedure.)
TO LOP :X :Y
PR :X
WAIT 120
LOP :Y :X + :Y
END

What do you think is happening this time?
Try 'chasing' through the procedure the values: x = 1 and y = 1.
No longer surprised!
Why do you think it goes on and on...?
Yes it keeps starting itself again, but with different variables,
moving on in the sequence by adding the last two variables.

Why not experiment further changing the fourth line?
For example:
LOP :Y :X +:Y*2
LOP :Y :X - :Y*2
LOP :Y :X * 2

Any surprises?

LOP :Y * 2 :X + :Y

Etc. Etc. Etc....


 
1
1
3
5
11
21
43
85
171
341
683
1365
2731
5461
10923
21845
43691
87381
174763
349525
699051
1398101
2796203
5592405
11184811
22369621
44739243
89478485
178956971
357913941

Next: FF12
 

Related Collections

  • Learning Logo

You may also like

First Forward Into Logo 1: Square Five

A Short introduction to using Logo. This is the first in a twelve part series.

LOGO Challenge 1 - Star Square

Can you use LOGO to create this star pattern made from squares. Only basic LOGO knowledge needed.

LOGO Challenge 5 - Patch

Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?

  • Tech help
  • Accessibility Statement
  • Sign up to our newsletter
  • Twitter X logo

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.

University of Cambridge logo NRICH logo