|
| 9
can be split up as 5 and 4 yielding the ordered pair (5,4). |
|
Apply,
repeatedly, the following two rules to form sets of ordered pairs.
1.
Take
the smaller number from the larger.
2.
Double
the smaller number.
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|
Example:
|
| With
9, five and four develop the following pattern
|
|
(
5 , 4 )
(
1 , 8 )
(
7 , 2 )
(
5 , 4 )
|
|
Try
other pairs of numbers which
add up to 9 and find their cycles.
v
Try
other pairs of numbers which
add up to 9 and find their cycles.
v
Using
the same rules find out what happens with number pairs which add up to 2,
3, 4, 5………etc.
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