Currently viewing the tag: "Sequences"

Coordinate Patterns

By On 5 January, 2014 · 22 Comments

Imagine this pattern of squares continuing on and on …

How do you find the coordinates of the centre of square 1 if you know that (0, 3), (3, 4), (4, 1) and (1, 0) are vertices?

What are the coordinates of the centre of the 20th square?

Imagine the sequence of […]

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Loopy

By On 17 January, 2012 · 3 Comments

The terms of a sequence are given by this equation where each term is found from the two preceding terms.

.For example if the first two terms are 2 and 5 then the next term is (1+5)/2=3 and the sequence is

2,  5,  3,  4/5,  3/5,  2,  5, … etc.

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