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  1. N

    Three 3's

    or maybe: 99900000... or something along those lines. How do I make it invisible?
  2. N

    Next Number?

    I saw this too, and it would have been much easier to use. When I noticed the pattern (1+2=3, 4+5+6=7+8...), the perfect squares stuck out and then when I came up with the recursive function I was looking at it more from a point of view of the squares than I was from the pov of a sequense...
  3. N

    Next Number?

    T(n) = (T( (n^(1/2) -1 )^2 )/3 + n) * 3 T(0) = 0 T(1) = 3 T(4) = 15 T(3^2) = ( T(2^2) )/3 + 3^2) * 3 = (15/3 + 9) * 3 = 42 I think the problem was that I knew what I was thinking but then I didn't clearly state it. I was intending that T(n-1) would be the next lowest perfect square...
  4. N

    Next Number?

    I think that would make it simpler too. Before I figured out the recursive function, I was using excel with the formula n + (n+1) + ... + (n+n^(1/2)), that was a pain because you can't just copy and paste...
  5. N

    Next Number?

    It works if you do it for n= 0^2, 1^2, 2^2, ... then 2^2 = 15, but 4^2 = 90.
  6. N

    Next Number?

    I miss stated it, it's: T(0) = 0, T(n) = (T( (n^(1/2) -1 )^2 )/3 + n) * 3, when n^(1/2) is an integer. so for n = 4, its T(4) = ( T(1)/3 + 4 )*3 = (3/3 + 4)*3 = 15 It can also be n + (n + 1) + ... + (n + n^(1/2)) = (n + n^(1/2) + 1) + ... + ( n + 2*n^(1/2) )
  7. N

    Next Number?

    It is a typo, it works when n is a perfect square.
  8. N

    Next Number?

    That works too, the formula I was using is T(0) = 0, T(n) = (T(n-1))/3 + n) * 3. The interesting part was that if you add consecutive numbers, they add to the next set of consecutive numbers, starting with a perfect square and going to the number before the next perfect square. Like 1+2 = 3...
  9. N

    Next Number?

    0, 3, 15, 42, 90, ... What number comes next? There's something interesting about these numbers (at least to me). <- thats not a clue its just that this isnt just some random series, theres more to it that is mathematical, not personal or a bus route...
  10. N

    Barber's paradox

    Well if he doesnt exist then no, he doesn't shave himself.
  11. N

    Medical Moving consciousness inside the brain

    Feynman did some experiments with this and talks about it in one of his 'curious character' books- I cant remember which one. Anyway, he smoked pot and got in a tank that was able to remove his senses by removing external stimuli (I think the tank was designed, not by Feynman, to try to mimic...
  12. N

    Does anyone know this question ?

    Um... he plagiarised himself?
  13. N

    Logic Lovers

    The answer to the original question is 'no'.
  14. N

    Logic Lovers

    What about: If the first statement is false, then the second statement is true.
  15. N

    Logic Lovers

    it's false
  16. N

    In a certain country

    ans in white: by the n'th day, all n unfaithfull wives must be killed Not sure if its what you were looking for, but it works.
  17. N

    What is colour of the bear that has fallen

    My guess is that it has to do with the sea level of the ground at the base of the mountain...
  18. N

    Save 10 prisoners

    There are 4 possible situations: 1) 3 B, 0 W 2) 3 W, 0 B 3) 2 B, 1 W 4) 2 W, 1 B Assuming that each is equally likely, then your solution gives a 50% survival rate, same as last prisoner randomly guessing. Did I miss something that would make it 75% instead of 50%?
  19. N

    The power of 7

    not certain, but that sounds like Through the Looking Glass.
  20. N

    Microsoft interview questions

    I didnt notice the nobody can go alone line but if that were true the question would be impossible.
  21. N

    Microsoft interview questions

    There is no trick to breaking the rules- two people max, both same way, one flashlight. The trick is to illiminate the bad affects of the 10 and 5 person- think of the farmer, the fox, the chicken, and the egg riddle if you know it... 3) light one rope at both ends
  22. N

    Four fours

    2.0636505122486923685638272848301e+267 = 4^(444)
  23. N

    Quick Little Word Teaser

    14? Each being a persons name.
  24. N

    An important part of the boat

    the sun? ..
  25. N

    If a/x*x = a then if x =0 a/0*0 = a

    zero/infinity = 0 ...anything not (+,-) infinity is zero when divided by (+,-) infinity (this may actually be undefined, but its limit is 0) infinity/zero DNE
  26. N

    If a/x*x = a then if x =0 a/0*0 = a

    this doesnt work becaus infinity/infinity does not equal 1, it is undefined. for <<<GUILLE>>>, 0*infinity = 0
  27. N

    If a/x*x = a then if x =0 a/0*0 = a

    when x approaches 0, y approaches +infinity or -infinity depending on direction... that's one of the reasons 1/0 is undefined. there is no point at x= 0, it is untrue that "there is an imaginary point...", it does not exist.
  28. N

    If a/x*x = a then if x =0 a/0*0 = a

    5*0 = 4*0 If you can divide by zero, then the zeros cancel and 5 = 4 and you end up with a number system with only 1 element. Its not so much impossible to come up with a system that allows you to divide by zero, its that it would be limiting rather that useful..
  29. N

    Four cannibalistic spiders

    not sure what the answer is but they definately continuously get closer to the center until they meet so its not never...
  30. N

    What animal and elephants?

    Is this significant?
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