| | | # Number Sequence Help
Asked Apr 15, 2005, 06:57 AM
—
** 6 Answers** | Somebody at work has stumped the office with this:
What is the next number?
33 36 39 42 52 60 110
Anyone got any ideas? I can't concentrate on my work because I keep thinking of this :) I'm even using Excel to type in mathmatical equations to find the answer :P |
6 Answers
| Senior Member | |
Apr 15, 2005, 08:16 AM
| | Questions like these make no sense. For every number you can think of, I can make a logic equation that will say it's a "logical" next number.
To make an example easy, let's look at sequence 1, 2, 3.
You can say the next number is 4, because you're counting 1,2,3,4... you can also say the next number is 5 and after that 8, because 1+2=3, 2+3=5, 3+5=8.
But you can also say the next number is 40.
Why? If you look at the function
p(x) = -24 + 78 x - (187x^2)/2 + (107x^3)/2 - (29x^4)/2 + (3x^5)/2
and calculate p(1) you will get 1.
p(2)=2
p(3)=3
p(4)=40
But you can also say 70!
Why?
Take a look at h(x) = -54 + 169x - (397x^2)/2 + 111x^3 - (59x^4)/2 + 3x^5
h(1)=1
h(2)=2
h(3)=3
h(4)=70
Basically, for any given number, you can find a "logic" for just THAT number to be the next in line.
Lets say you want to prove you can find a logic for PI to be the next number in sequence.
Just take a look at function
g(x) = 4 - PI - (19*x)/3 + (11*PI*x)/6 + 4x^2 - PI*x^2 - (2x^3)/3 + (PI*x^3)/6
g(1)=1
g(2)=2
g(3)=3
g(4)=PI | | | Senior Member | |
Apr 15, 2005, 08:20 AM
| | Oh... to answer your question. I would say the next number is 460.
Reason is this function:
p(x) = 152 - (579 x)/2 + (11738 x^2)/45 - (905 x^3)/8 + (919 x^4)/36 - (23 x^5)/8 + (23 x^6)/180
p(8) = 460 | | | New Member | |
Jun 24, 2013, 06:22 AM
| | What's the next number in sequence 3,5,6,10,12,20 | | | Ultra Member | |
Jun 25, 2013, 02:19 AM
| | 3 - 5 - 6 - 10 - 12 - 20 - 24 - 40 - 48 - 80 - 96 - 160 - 192 - 320 - 384.. .
;) | | | Expert | |
Jun 25, 2013, 06:06 AM
| | I know this is a really old question, but I do have the answer to the OP's question: Originally Posted by **LTheobald** What is the next number?
33 36 39 42 52 60 110 Assuming that the OP accidentally left out one number in the sequence, so it is actually 33 36 39 42 **46 **52 60 110, this sequence is the number 42 written first in base 14, then base 13, then base 12, etc. The next number after 110 (which is 42 in base 6) is 132. | | | Expert | |
Jun 25, 2013, 06:11 AM
| | Originally Posted by **InfoJunkie4Life** 3 - 5 - 6 - 10 - 12 - 20 - 24 - 40 - 48 - 80 - 96 - 160 - 192 - 320 - 384 . . .
;) Very good. And then 640, 768, 1280... | | Question Tools | Search this Question | | | ### Add your answer here. ##
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