Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Pascal triangle

  1. Dec 11, 2006 #1
    Can we use pascal triangle by moving upwards i.e in opposite direction,considering that the opposite side will have their pole as -1?
    Mens both 1 & -1 will lie in between the centre.
    And what if we remain unipolar with centre as 1?
    Surely if both of them fail to give us the required results than we can say that pascal triangle is not universal as it doesn't fair well in negative world.
  2. jcsd
  3. Dec 11, 2006 #2

    Gib Z

    User Avatar
    Homework Helper

    Basically you wish to extend Pascals Triangle to correspond to the coefficients of negative exponents? i.e [tex](a+b)^[-n][/tex]. But if you recognize, this can also be expressed as [tex]((a+b)^n)^[-1][/tex], or the reciprocal of the absolute value of your negative n. So we can still use the triangle.

    Edit: Uhh this tex im trying to use isnt going too smoothly..the weird stuff ups are ment to be exponents...
    Last edited: Dec 11, 2006
  4. Dec 11, 2006 #3


    User Avatar
    Science Advisor
    Homework Helper

    Use braces for LaTeX:
  5. Dec 11, 2006 #4

    Gib Z

    User Avatar
    Homework Helper

    o ok thanks thats what i meant
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?