BrainDen.com - Brain Teasers
• 0

## Question

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.

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

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

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

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

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

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

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

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.

## 5 answers to this question

• 0

Can you do these for me?

10

11

12

1

0

-1

thanks!

##### Share on other sites
• 0
Can you do these for me?

10

11

12

1

0

-1

thanks!

Does 100=one hundred OR hundred????

##### Share on other sites
• 0

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).

##### Share on other sites
• 0

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

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

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, ...

##### Share on other sites
• 0

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

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

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

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, ...

## Create an account

Register a new account