Positive integer proof

Related BrainMass Solutions

• Proof by Induction

  438852 Proof by Induction: Example Problem Prove by induction: If a > 0 then 1/a > 0, where a is an integer. Here is how we can apply the induction technique to prove the given statement: "If a > 0 then 1/a > 0 where a is an integer."

• Explicit Permutations, Transformations, Images and Kernels

  Second, I claim that holds for some positive integer . If not, then is always bigger than . Similar to the proof in (a), we have for all positive integer . Then we have But is at most , then is at most .

• Integer Proofs by Contradiction

  115349 Integer Proofs by Contradiction Assume that n is a positive integer. Use the proof by contradiction method to prove: (a) If 7n + 4 is an even integer, then n is an even integer.

• Exponential Proof

  We know that ............(2) where m=-n is a positive integer.

• Proof about Ordering the Real Numbers

  there is a positive integer n such that nx>y.

• Proof by Contradiction: 3n + 2 is Even, N is Even

  424425 Use the proof by contradiction method. Assume that n is a positive integer. Use the proof by contradiction method to prove and explain if 3n + 2 is an even integer then n is an even integer.

• Induction Mathematical Proof and Odd and Even Powers

  28445 Induction Mathematical Proof and Odd and Even Powers Show that any positive integral power of (√2 - 1) can be written in the form √N - √(N-1) , where N is a positive integer.

• Hogatt's Theorem Proof

  Condition: Let n be the largest positive integer such that: First let's prove that : If Then This is a contradiction to the condition.

• Proof by Induction : Step-by-step

  121411 Proof by Induction : Step-by-step Let p(n) be the statement that: 1^3 + 2^3 + ... + n^3 = (n (n + 1) /2)^2 for the positive integer n. a) What is the statement P(1)?