Our server costs ~$56 per month to run. Please consider donating or becoming a Patron to help keep the site running. Help us gain new members by following us on Twitter and liking our page on Facebook!
Current time: April 19, 2024, 4:37 am
Atheist Forums › Science › Mathematics v
20 Questions Type Puzzel

Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Thread Modes
20 Questions Type Puzzel
Sejanus Offline
Praetorian Prefect
***
Religious Views: Atheist
Posts: 954
Threads: 24
Joined: October 7, 2013
Reputation: 26
#51
RE: 20 Questions Type Puzzel
January 22, 2015 at 12:56 am
1, 2, 1, 2, 4, 7, 12, -3...
[Image: thfrog.gif]



Find
Reply
GrandizerII Offline
Senior Member
****
Religious Views: Not easy for me to summarize in a few words
Posts: 6607
Threads: 73
Joined: May 31, 2014
Reputation: 56
#52
RE: 20 Questions Type Puzzel
January 22, 2015 at 8:58 am
(January 22, 2015 at 12:18 am)IATIA Wrote: Interesting, but the first 2 does not really fit in.

How so?
Find
Reply
Jenny A Offline
Our Dog is a Jealous Dog
*****
Religious Views: atheist
Posts: 5706
Threads: 67
Joined: June 13, 2014
Reputation: 69
#53
RE: 20 Questions Type Puzzel
January 22, 2015 at 11:44 am
(January 22, 2015 at 8:58 am)Irrational Wrote:
(January 22, 2015 at 12:18 am)IATIA Wrote: Interesting, but the first 2 does not really fit in.

How so?

Yes, how so?

The intervals between the numbers are ascending primes times alternating ascending powers of 2 and 3.

6-2=4=2x2
15-6=9=3x3
35-15=20=5x2x2
77-35=42=7x3x3
165-77=88=11x2x2x2
516-165=351=13x3x3x3

1 is the prime before 2 and any number to the power of zero is one. So the difference between 2 and the number before it would be one. Thus
2-1=1=1* (3 to the zero power). So the number in sequence before 2 would be 1.
If there is a god, I want to believe that there is a god.  If there is not a god, I want to believe that there is no god.
Find
Reply
IATIA Offline
Complete idiot? Nope. Still missing parts.
****
Religious Views: Mereological Nihilism
Posts: 4196
Threads: 60
Joined: September 8, 2011
Reputation: 30
#54
RE: 20 Questions Type Puzzel
January 22, 2015 at 12:03 pm
You are right. I guess technically we have three answers to the sequence, albeit not sequential as was my intent, but not wrong either.
You make people miserable and there's nothing they can do about it, just like god.
-- Homer Simpson

God has no place within these walls, just as facts have no place within organized religion.
-- Superintendent Chalmers

Science is like a blabbermouth who ruins a movie by telling you how it ends. There are some things we don't want to know. Important things.
-- Ned Flanders

Once something's been approved by the government, it's no longer immoral.
-- The Rev Lovejoy
Find
Reply
TheRealJoeFish Offline
Last Living Soul
****
Religious Views: Hallelujah Money
Posts: 2985
Threads: 29
Joined: October 26, 2014
Reputation: 31
#55
RE: 20 Questions Type Puzzel
January 22, 2015 at 1:05 pm
(January 22, 2015 at 11:44 am)Jenny A Wrote:
(January 22, 2015 at 8:58 am)Irrational Wrote: How so?

Yes, how so?

The intervals between the numbers are ascending primes times alternating ascending powers of 2 and 3.

6-2=4=2x2
15-6=9=3x3
35-15=20=5x2x2
77-35=42=7x3x3
165-77=88=11x2x2x2
516-165=351=13x3x3x3

1 is the prime before 2 and any number to the power of zero is one. So the difference between 2 and the number before it would be one. Thus
2-1=1=1* (3 to the zero power). So the number in sequence before 2 would be 1.

7x3x3 = 63, not 42, so your 4th step doesn't hold. But if we just fix that arithmetic error, we get:
2
2+(2*2*1) = 6
6+(3*3*1) = 15
15+(5*2*2) = 35
35+(7*3*2) = 77
77+(11*2*3) = 143
143+(13*3*3)= 260 (which breaks from the p_(n-1)*p_n pattern).

And then you can go

260+(17*2*4) = 396
396+(19*3*4) = 624.

This sequence would be defined as n_0 = 2, n_i = n_(i-1) + (p_i)*(2.5+(.5*(-1)^i))*(ceiling(i/2))

The point, I think, is that if you give a finite sequence portion of a sequence, there are an infinite number of sequences that can follow, if you're creative!

To bookend, the "other" solution, other than 143, was 165.

2
2*2+2 = 6
6*6+3 = 15
15*2+5 = 35
35*2+7 = 77
77*2+11 = 165

and so on!
How will we know, when the morning comes, we are still human? - 2D

Don't worry, my friend.  If this be the end, then so shall it be.
Find
Reply
GrandizerII Offline
Senior Member
****
Religious Views: Not easy for me to summarize in a few words
Posts: 6607
Threads: 73
Joined: May 31, 2014
Reputation: 56
#56
RE: 20 Questions Type Puzzel
January 22, 2015 at 1:12 pm
(January 22, 2015 at 1:05 pm)TRJF Wrote: To bookend, the "other" solution, other than 143, was 165.

2
2*2+2 = 6
6*6+3 = 15
15*2+5 = 35
35*2+7 = 77
77*2+11 = 165

and so on!

How does the first term fit the sequence in this case? There is no natural prime number before 2.
Find
Reply
TheRealJoeFish Offline
Last Living Soul
****
Religious Views: Hallelujah Money
Posts: 2985
Threads: 29
Joined: October 26, 2014
Reputation: 31
#57
RE: 20 Questions Type Puzzel
January 22, 2015 at 1:50 pm
(January 22, 2015 at 1:12 pm)Irrational Wrote:
(January 22, 2015 at 1:05 pm)TRJF Wrote: To bookend, the "other" solution, other than 143, was 165.

2
2*2+2 = 6
6*6+3 = 15
15*2+5 = 35
35*2+7 = 77
77*2+11 = 165

and so on!

How does the first term fit the sequence in this case? There is no natural prime number before 2.

The first term being 2? You just have to define it. Each term in the sequence depends on the number before it, but the first term in the sequence by definition doesn't have a number before it. So you've just got to start somewhere.

For instance, the initial 1, 1 doesn't "fit" the Fibonacci sequence. That's just where you start.
How will we know, when the morning comes, we are still human? - 2D

Don't worry, my friend.  If this be the end, then so shall it be.
Find
Reply
GrandizerII Offline
Senior Member
****
Religious Views: Not easy for me to summarize in a few words
Posts: 6607
Threads: 73
Joined: May 31, 2014
Reputation: 56
#58
RE: 20 Questions Type Puzzel
January 22, 2015 at 5:52 pm
True. Actually, all sequences are like that. Not sure what I was wondering about.
Find
Reply
IATIA Offline
Complete idiot? Nope. Still missing parts.
****
Religious Views: Mereological Nihilism
Posts: 4196
Threads: 60
Joined: September 8, 2011
Reputation: 30
#59
RE: 20 Questions Type Puzzel
January 22, 2015 at 9:28 pm
(January 22, 2015 at 1:05 pm)TRJF Wrote: To bookend, the "other" solution, other than 143, was 165.

2
2*2+2 = 6
6*2+3 = 15
15*2+5 = 35
35*2+7 = 77
77*2+11 = 165

and so on!
Minor correction, but that is it.
You make people miserable and there's nothing they can do about it, just like god.
-- Homer Simpson

God has no place within these walls, just as facts have no place within organized religion.
-- Superintendent Chalmers

Science is like a blabbermouth who ruins a movie by telling you how it ends. There are some things we don't want to know. Important things.
-- Ned Flanders

Once something's been approved by the government, it's no longer immoral.
-- The Rev Lovejoy
Find
Reply


Atheist Forums › Science › Mathematics v
20 Questions Type Puzzel

Possibly Related Threads...
Thread Author Replies Views Last Post
  Fun Mathy Type Riddles Losty 119 23707 November 16, 2017 at 3:39 pm
Last Post: BrianSoddingBoru4



Users browsing this thread: 1 Guest(s)