Jump to content
BrainDen.com - Brain Teasers
  • 0
Sign in to follow this  
Guest

Question

Guest

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.

Share this post


Link to post
Share on other sites

5 answers to this question

  • 0
Guest
Can you do these for me?

10

11

12

1

0

-1

thanks! :D

Does 100=one hundred OR hundred????

Share this post


Link to post
Share on other sites
  • 0
Guest

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 this post


Link to post
Share on other sites
  • 0
Guest

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, ...

Share this post


Link to post
Share on other sites
  • 0
Guest

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, ...

Share this post


Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now

Sign in to follow this  

  • Recently Browsing   0 members

    No registered users viewing this page.

×