Braingle: 'Triples' Brain Teaser

Triples

Series teasers are where you try to complete the sequence of a series of letters, numbers or objects.

Puzzle ID:	#27719
Fun:	(2.92)
Difficulty:	(1.64)
Category:	Series
Submitted By:	bigSWAFF_69_
Corrected By:	FatHead

A Triple is a Series with 6 sets, each with 3 numbers apiece. The relationship between the first two numbers is the same throughout all of the sets, and the relationship between the last two numbers is also the same, however, it is different than the first relationship. Try and find the missing numbers:

2 5 10
3 10 20
4 17 34
5 __ __
_ 37 __
_ __ 100

Answer

2 5 10
3 10 20
4 17 34
5 26 52
6 37 74
7 50 100

Relationship for first two numbers: square it, add 1 (2 squared=4, 4+1=5)
Relationship for last two numbers: double it (5 doubled = 10)
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Comments

TheEarthling Dec 29, 2005	Very easy, but I like it. Cool teaser.
froggygg Jan 02, 2006	Good teaser swaffy!
mr_brainiac Jan 02, 2006	good brain exercise for the tougher ones
RRAMMOHAN Dec 23, 2007	Quite a simple one!
doehead Dec 23, 2007	very easy
bradon182001 Dec 23, 2007	Easy for you guys. Not so easy for me. Obviously not one of my favorites. Sorry.
mondayschild59 Dec 23, 2007	I suck at math. I'm sorry, I didn't get it. But at least you posted and for that I am greatful. Maybe I'll do better next time. Monday
UptheHill Dec 23, 2007	I totally got that one!!! Need more coffee...
karma48 Dec 23, 2007	This is what I'm talking about! The perfect teaser. Thank you very much! 10
bigSWAFF_69_ Dec 23, 2007	THIS out of all of my other teasers got Teaser of the Day? What has the world come to?
2ndhandrose Dec 23, 2007	I Dunno. Coffee or Tea is needed!I got on one correct! Thanks Anyway! Keep sending em in! I might get smarter again after the Holidays! Ho! Ho! Ho! Brain is worn out too!
Harmony_Girl Dec 23, 2007	I really, really enjoyed that one!
karenokupniak Dec 23, 2007	I usually give up on this kind of teaser pretty quickly, but figured this one out and really enjoyed it. Thanks!
(user deleted) Dec 23, 2007	This is one of those odd problems (that occur frequently in math) where you can come up with the right answer the wrong way. I added the first two numbers of line one and the first number of line two to obtain the middle number of line two, then doubled that for the third number in line two. This is consistent throughout.
lordmikel Dec 23, 2007	4+4+5 = 13 and not 17. So that wouldn't work. I see where it worked for the first two lines, but it quickly stops. I liked this puzzle, my only complaint, you went 2 through 7. I might've liked to have seen you jump ahead. 11, 101, something higher.
lordmikel Dec 23, 2007	Sorry, misread the directions for etcbeatty, that does work.
robert_lewis200 Dec 23, 2007	there's other correspondences with numbers too...I got the same answers but used a different way. If you notice, the first column of numbers is 2, 3, 4, so 5 & 6 make sense. The last column is double the middle column. The numbers in the middle column differ by the odd numbers....between 2 and 5 is a difference of 3, between 10 and 3 is a difference of 7, then a difference of 9, 11, etc.
SweetPotato Dec 23, 2007	Good one ... thank you! I like logic puzzles and I like math puzzles ... this one combines the two.
wordmama Dec 23, 2007	Even though I solved it somewhat quickly, it was a most enjoyable 90 seconds! Thanks for submitting.
dogg6pound9 Dec 23, 2007	great teaser... couldnt figure it out though... maybe next time
glou Dec 23, 2007	Yeah I like these too, but also figured it out working up and down (first column just went 1, 2, 3, 4, 5, 6, 7; second column was first add 5, then 7,then 9, then 11, then 13 etc...; third column was add 10, then 14, then 18, then 22, then 24 etc....). Good one though!
s_o_s Dec 24, 2007	I agree it would have been a bit more challenging had it not been just the numbers 2-7 like that. However I found other people's comments interesting about other patterns they found. Very good!
wandering_goat Dec 24, 2007	Fun and easy (don't think I don't like easy ones too!)
FatHead Dec 27, 2007	Not bad, but a little too easy because of the pattern in the first column, as etcbeatty implicitly pointed out. Aw well. Like I say, not bad.
Inukai Nov 07, 2008	Nice, easy, and fun
stdedos Dec 23, 2010	Or, think it this way to complete the second column: The number in the second column is: Mumber of the first column plus the sum of the first and the second numbers of the previous line
patiencewithaP Dec 23, 2010	I got the answers but did it the same way that robert_lewis200 did...fun teaser!
auntiesis Dec 23, 2010	Really easy, not a challenge , but fun.
here2 Dec 23, 2010	enjoyed it. Thank you.
menso415 Dec 23, 2010	i got it right but if you add the first 2 numbers, thats the difference between the first two numbers of the next set.. try it.