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5 replies to this topic

#1 rhapsodize

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Posted 06 April 2008 - 10:42 PM

See if you can figure out the pattern of these sequences. Depending on the first number, it will always come back to 2...or will it? I can't tell if this pattern has to go to repeating 2s forever or not; would love if someone could prove that.


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.
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#2 unreality

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Posted 06 April 2008 - 11:05 PM

Can you do these for me?

10
11
12
1
0
-1

thanks! :D
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#3 Enigma

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Posted 07 April 2008 - 03:28 AM

Can you do these for me?

10
11
12
1
0
-1

thanks! :D


Does 100=one hundred OR hundred????
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#4 rhapsodize

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Posted 07 April 2008 - 01:49 PM

100 is the number. No tricks with words.

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).
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#5 brhan

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Posted 07 April 2008 - 02:07 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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#6 rhapsodize

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Posted 07 April 2008 - 02:10 PM

CORRECT! Sorry about the 42 (being the meaning to life, the universe, and everything, I got so excited writing it that I messed up).

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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