Recent content by chan8366

  1. C

    Proving: 6 Divides (n^3-n) for All Integers n

    Homework Statement prove:6 divides (n^3-n) for all integers n. Homework Equations n^3-n=(n)(n+1)(n-1) The Attempt at a Solution tried to use direct proof. Then used cases that involed n=2k for some integer k and n=2k+1 for some integer k. However, i could not get it so that 6 was...
  2. C

    How Does Proof by Contradiction Validate a/b + b/a >= 2?

    thanks it was that easy
  3. C

    How Does Proof by Contradiction Validate a/b + b/a >= 2?

    [SOLVED] basic math proof by contradiction Homework Statement prove: If a and b are positive numbers, a/b +b/a>=2 Homework Equations The Attempt at a Solution by contradiction (a^2+b^2)/ab<2 and got lost