Posted on 19 October 2015 - 08:56 PM
Hello all you math geniuses, I have a question for you all!2,11,23,31,41,53,61,71,83,_ Fill in the blank
There is a pattern and I can't find it help!!!
EDIT: It's 97
Posted on 19 October 2015 - 09:06 PM
always love a good challenge, will post again if/when I figure it outPosted on 19 October 2015 - 09:13 PM
I believe it is 91Posted on 19 October 2015 - 09:17 PM
redpandaarcher wrote
that seems too simple though
If you are going purely by patterns, the first integer should be 1
Posted on 19 October 2015 - 09:18 PM
redpandaarcher wrote
Explain?
Posted on 19 October 2015 - 09:19 PM
Don't think so because all the other numbers are primed and 91 is not primePosted on 19 October 2015 - 09:29 PM
SuperSubh3561 wrote
redpandaarcher wrote...
Explain?
Edit: I get it but as Aymbaut mentioned the first number would have been 1 or 0
Posted on 19 October 2015 - 09:55 PM
bkweoaiqamdoesn't really translate to anything either
Posted on 19 October 2015 - 10:38 PM
I am honestly stumped.Posted on 19 October 2015 - 10:49 PM
91 is all I can come up withPosted on 19 October 2015 - 11:04 PM
Pokenick wrote
I'll look in to this tomorrow, just to tired today
Posted on 19 October 2015 - 11:07 PM
not relevant anymorePosted on 19 October 2015 - 11:12 PM
Morsinius is g0d, I completely fucked upPosted on 19 October 2015 - 11:46 PM
f(n)=a*n^8+b*n^7+c*n^6+d*n^5+e*n^4+f*n^3+g*n^2+h*n+if(1) = 2
f(2) = 11
f(3) = 23
f(4) = 31
f(5) = 41
f(6) = 53
f(7) = 61
f(8) = 71
f(9) = 83
Therefore :
(1^8)*a+(1^7)*b+(1^6)*c+(1^5)*d+(1^4)*e+(1^3)*f+(1^2)*g+(1^1)h+i = 2
(2^8)*a+(2^7)*b+(2^6)*c+(2^5)*d+(2^4)*e+(2^3)*f+(2^2)*g+(2^1)h+i = 11
(3^8)*a+(3^7)*b+(3^6)*c+(3^5)*d+(3^4)*e+(3^3)*f+(3^2)*g+(3^1)h+i = 23
(4^8)*a+(4^7)*b+(4^6)*c+(4^5)*d+(4^4)*e+(4^3)*f+(4^2)*g+(4^1)h+i = 31
(5^8)*a+(5^7)*b+(5^6)*c+(5^5)*d+(5^4)*e+(5^3)*f+(5^2)*g+(5^1)h+i = 41
(6^8)*a+(6^7)*b+(6^6)*c+(6^5)*d+(6^4)*e+(6^3)*f+(6^2)*g+(6^1)h+i = 53
(7^8)*a+(7^7)*b+(7^6)*c+(7^5)*d+(7^4)*e+(7^3)*f+(7^2)*g+(7^1)h+i = 61
(8^8)*a+(8^7)*b+(8^6)*c+(8^5)*d+(8^4)*e+(8^3)*f+(8^2)*g+(8^1)h+i = 71
(9^8)*a+(9^7)*b+(9^6)*c+(9^5)*d+(9^4)*e+(9^3)*f+(9^2)*g+(9^1)h+i = 83
Matrix equation should be A^-1B = X
Plug this into wolfram —
(inv(({1^8,1^7,1^6,1^5,1^4,1^3,1^2,1^1,1^0},{2^8,2^7,2^6,2^5,2^4,2^3,2^2,2^1,2^0},{3^8,3^7,3^6,3^5,3^4,3^3,3^2,3^1,3^0},{4^8,4^7,4^6,4^5,4^4,4^3,4^2,4^1,4^0},{5^8,5^7,5^6,5^5,5^4,5^3,5^2,5^1,5^0},{6^8,6^7,6^6,6^5,6^4,6^3,6^2,6^1,6^0},{7^8,7^7,7^6,7^5,7^4,7^3,7^2,7^1,7^0},{8^8,8^7,8^6,8^5,8^4,8^3,8^2,8^1,8^0},{9^8,9^7,9^6,9^5,9^4,9^3,9^2,9^1,9^0}))).({2},{11},{23},{31},{41},{53},{61},{71},{83})
Wolfram didn't work, tried someplace else and got
{{-37679/32094720},{48217/1146240},{-1396249/2292480},{521407/114624},{-84507113/4584960},{43798333/1146240},{-26863629/891520},{4509/6368},{6101/796}}
a = -37679/32094720
b = 48217/1146240
c = -1396249/2292480
d = 521407/114624
e = -84507113/4584960
f = 43798333/1146240
g = -26863629/891520
h = 4509/6368
i = 6101/796
Back to original equation
f(n)=a*n^8+b*n^7+c*n^6+d*n^5+e*n^4+f*n^3+g*n^2+h*n+i
Final equation:
f(n)=(-37679/32094720)*n^8+(48217/1146240)*n^7+(-1396249/2292480)*n^6+(521407/114624)*n^5+(-84507113/4584960)*n^4+(43798333/1146240)*n^3+(-26863629/891520)*n^2+(4509/6368)*n+(6101/796)
Solving for #10:
x = (-37679/32094720)*10^8+(48217/1146240)*10^7+(-1396249/2292480)*10^6+(521407/114624)*10^5+(-84507113/4584960)*10^4+(43798333/1146240)*10^3+(-26863629/891520)*10^2+(4509/6368)*10+(6101/796)
x = -15139/796
x ≈ -19.01
If you think I'm pulling your leg, try substituting n for any of the numbers above.
edit:
This can't be 91 because the pattern wouldn't start if 2 if so– it'd have to be 1 if you followed the pattern below
1 + 10 <– can't be 2 because it breaks the pattern
11 + 12
23 + 8
31 + 10
41 + 12
53 + 8
61 + 10
71 + 12
83 + 8
91
Posted on 20 October 2015 - 12:10 AM
Read belowPosted on 20 October 2015 - 12:14 AM
-snip- *Idiotic Answer*Posted on 21 October 2015 - 08:45 PM
Apparently it's 97 thanks for your help @Morsinius @WhatDefinesYou @Pokenick @Aymbaut @redpandaarcherPosted on 21 October 2015 - 08:46 PM
And @lmBlitzPosted on 21 October 2015 - 09:00 PM
Just ask Huahwi he would knowPosted on 21 October 2015 - 09:00 PM
OMG I WAS RIGHTI SAID 97 AT FIRST
HAHHAHAHAHHAHA