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What’s the next number in the pattern?

Posted on 4/18/22 at 6:23 pm
Posted by 0x15E
Outer Space
Member since Sep 2020
14735 posts
Posted on 4/18/22 at 6:23 pm
5, 7, 12, 20, 31, _____

Show your work.
Posted by Btrtigerfan
Disgruntled employee
Member since Dec 2007
23487 posts
Posted on 4/18/22 at 6:25 pm to
I'm not doing your homework.
Posted by thelawnwranglers
Member since Sep 2007
41998 posts
Posted on 4/18/22 at 6:25 pm to
45
Posted by CaptainsWafer
TD Platinum Member
Member since Feb 2006
59065 posts
Posted on 4/18/22 at 6:25 pm to
350 answers coming in HOT
Posted by white perch
the bright, happy side of hell
Member since Apr 2012
7570 posts
Posted on 4/18/22 at 6:25 pm to
45


5, 7, 12, 20, 31, _____

5 + (2+0) = 7
7 + (2+3) = 12
12 + (2+6) = 20
20 + (2+9) = 31
31 + (2+12) = 45

fricking lawn wrangler beat me to it.
This post was edited on 4/18/22 at 6:31 pm
Posted by doublecutter
Member since Oct 2003
7005 posts
Posted on 4/18/22 at 6:25 pm to
3.50
Posted by PeteRose
Hall of Fame
Member since Aug 2014
17843 posts
Posted on 4/18/22 at 6:28 pm to
quote:

Show your work.


+2,+5,+8, +11,+14, +17...just keep adding 3
Posted by The Boat
Member since Oct 2008
175761 posts
Posted on 4/18/22 at 6:29 pm to
You add 2 then 5 then 8 then 11 then 14 which makes the next number 350
Posted by NotoriousFSU
Atlanta, GA
Member since Oct 2008
11952 posts
Posted on 4/18/22 at 6:31 pm to
45

7-5 = 2
12-7 = 5
20-12 = 8
31-20 = 11
45 - 31 = 14

The difference between the two sequential numbers is always equal to three.

This post was edited on 4/18/22 at 6:32 pm
Posted by Yewkindewit
Near Birmingham, Alabama
Member since Apr 2012
21608 posts
Posted on 4/18/22 at 6:53 pm to
5, 7, 12, 20, 31, potato or kumquat.

Posted by Tbonepatron
Member since Aug 2013
8462 posts
Posted on 4/18/22 at 6:57 pm to
Posted by geauxjuice
t(-.-t)
Member since Jan 2007
4339 posts
Posted on 4/18/22 at 7:04 pm to
what grade u in playboy
Posted by AkronTiger
Rubber City
Member since May 2021
2719 posts
Posted on 4/18/22 at 7:14 pm to
45

5,7,12,20,31

+2, +5, +8, +11…+14
(+3), (+3)…

(n + 1) - (n) = 3n - 1

Second difference is three, and as this is constant we have a quadratic sequence which follows N = an^2 + bn + c

Quadratic Sequences

Follow link to derive how to calculate values of constants, I’ll spare details.

a = 3/2
b = -5/2
c = 6

to know value of n, formula would be

N = (3/2)n^2 - (5/2)n + 6

This post was edited on 4/18/22 at 8:19 pm
Posted by Bestbank Tiger
Premium Member
Member since Jan 2005
79128 posts
Posted on 4/18/22 at 7:16 pm to
288
Posted by NYNolaguy1
Member since May 2011
21693 posts
Posted on 4/18/22 at 7:36 pm to
288
Posted by Obtuse1
Westside Bodymore Yo
Member since Sep 2016
30026 posts
Posted on 4/18/22 at 7:50 pm to
I always hated these types of questions because I had to force myself to answer the first pattern I saw because the longer I looked the more patterns I would see. My initial answer was 45 but there is a legit pattern that gives 51. Someone might argue that it needs parentheses to reach that answer but you are never given any specific rules for the pattern question.
Posted by AkronTiger
Rubber City
Member since May 2021
2719 posts
Posted on 4/18/22 at 8:17 pm to
Solution for any value n as above
Posted by Cosmo
glassman's guest house
Member since Oct 2003
129236 posts
Posted on 4/18/22 at 8:18 pm to
45
Posted by soccerfüt
Location: A Series of Tubes
Member since May 2013
72764 posts
Posted on 4/18/22 at 8:21 pm to
Easy
quote:

5, 7, 12, 20, 31, _____
Show your work.
5 Apples
7 Bananas
12 Cherries
20 Dates
31 Elderberries
Fiddy Figs
Posted by Topisawtiger
Mississippi
Member since Oct 2012
3680 posts
Posted on 4/18/22 at 8:26 pm to
45

2,5,8. Difference between each number. Next number will be 14+31 which equals 45.
This post was edited on 4/22/22 at 6:14 am
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