Other tags that relate to Maximum Mean
GeoGebra. Measures of spread. Sampling. Handling data. Creating and manipulating expressions and formulae. Maths Supporting SET. Generalising. Mass and weight. Averages. Mathematical reasoning & proof.There are 6 results
Broad Topics > Patterns, Sequences and Structure > Limits of Sequences
Litov's Mean Value Theorem
Age 11 to 14
Challenge Level
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
Archimedes and Numerical Roots
Age 14 to 16
Challenge Level
The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?
Zooming in on the Squares
Age 7 to 14
Start with a large square, join the midpoints of its sides, you'll see four right angled triangles. Remove these triangles, a second square is left. Repeat the operation. What happens?
Summing Geometric Progressions
Age 14 to 18
Challenge Level
Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?
Continued Fractions I
Age 14 to 18
An article introducing continued fractions with some simple puzzles for the reader.
Approximating Pi
Age 14 to 18
Challenge Level
By inscribing a circle in a square and then a square in a circle find an approximation to pi. By using a hexagon, can you improve on the approximation?
NRICH is part of the family of activities in the Millennium Mathematics Project.