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Resources tagged with Limits of Sequences similar to Reasoned Rounding:

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Broad Topics > Patterns and Sequences > Limits of Sequences

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Happy Numbers

Age 11 to 14 Challenge Level:

Take any whole number between 1 and 999, add the squares of the digits to get a new number. Make some conjectures about what happens in general.

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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...

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Light Blue - Dark Blue

Age 7 to 11 Challenge Level:

Investigate the successive areas of light blue in these diagrams.

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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?