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### #1

Posted 06 April 2008 - 10:42 PM

Start with a 2.

Sequence = 2, 2, 2, 2, 2, 2, 2, .....

Start with a 6.

Sequence = 6, 4, 3, 2, 2, 2, 2, 2, ....

Start with a 9

Sequence = 9, 3, 2, 2, 2, 2, .....

Start with a 24

Sequence = 24, 8, 4, 3, 2, 2, 2, ....

Start with a 42

Sequence = 42, 6, 4, 3, 2, 2, 2, ....

Start with a 100

Sequence = 100, 9, 3, 2, 2, 2, ....

Start with a 101

Sequence = 101, 2, 2, 2, 2, 2, ...

Start with a 360

Sequence = 360, 24, 8, 4, 3, 2, 2, ....

What is the pattern of all of these sequences? If you need help, post a couple of numbers to start with, and I'll be happy to give you the pattern for that starting number.

### #2

Posted 06 April 2008 - 11:05 PM

10

11

12

1

0

-1

thanks!

### #3

Posted 07 April 2008 - 03:28 AM

Can you do these for me?

10

11

12

1

0

-1

thanks!

Does 100=one hundred OR hundred????

### #4

Posted 07 April 2008 - 01:49 PM

10 is 10, 4, 3, 2, 2, 2, 2.....

11 is 11, 2, 2, 2, 2, 2, 2...

12 is 12, 6, 4, 3, 2, 2, 2...

1 is 1, 1, 1, 1, 1, 1, 1, 1, ...

So, there is a sequence that doesn't always end in 2.

0 and -1 don't have sequences. This sequence solely works with natural numbers (positive integers).

### #5

Posted 07 April 2008 - 02:07 PM

Sequence = 24, 8, 4, 3, 2, 2, 2, ....

Start with a 42

Sequence = 42, 6, 4, 3, 2, 2, 2, ....

It looks the number of factors .... lets start with 24.

Factors of 24 are {1, 2, 3, 4, 6, 8, 12, 24} ==>8.

Factors of 8 = {1, 2, 4, 8} ==>4.

Factors of 4 = {1, 2, 4} ==>3.

Factors of 3 = {1, 3} ==>2.

Factors of 2 = {1, 2} ==>2. ...

It works for all the numbers but 42. The sequence starting with 42 would be 42, 8, 4, 3, 2, 2, ...

### #6

Posted 07 April 2008 - 02:10 PM

Start with a 24

Sequence = 24, 8, 4, 3, 2, 2, 2, ....

Start with a 42

Sequence = 42, 6, 4, 3, 2, 2, 2, ....

It looks the number of factors .... lets start with 24.

Factors of 24 are {1, 2, 3, 4, 6, 8, 12, 24} ==>8.

Factors of 8 = {1, 2, 4, 8} ==>4.

Factors of 4 = {1, 2, 4} ==>3.

Factors of 3 = {1, 3} ==>2.

Factors of 2 = {1, 2} ==>2. ...

It works for all the numbers but 42. The sequence starting with 42 would be 42, 8, 4, 3, 2, 2, ...

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