# Prove that if n is an integer and n > 1, then 1 * 3 * 5 * ... * (2*n - 1) < n^n?

• Prove that if n is an integer and n > 1, then 1 * 3 * 5 * ... * (2*n - 1) < n^n?

$5 n^2 + 3$ is odd. How do I prove or disprove using discrete math? What value ... {2^{n + 1}} \sum_{k=1}^{n + 1 ... \sum \frac{n!}{n^n ...
Positive: 52 %
If we add $n$ to $n^2$, we have $n^2 + n = n(n+1)$, ... So, we have that n$^2$+n equals the sum of an even integer n$^2$, ... Prove that if $x+5$ is odd ...
Positive: 49 %

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Prove that for all integers n, n2 - n + 3 is odd.!! ! ! (5 ... Hence, n 2 - n + 3 = 2t + 1 where t is an integer, ... Prove that if n is any even integer ...
Positive: 52 %
... Math 2534 Answers to Proof Homework sheet. 1) ... for some integer p. Now consider n2 =n*n = (2p+ 1) ... for some integer n. Then we have that x = (2n ...
Positive: 47 %
HomeWork Answers. Section 1.7 . 1. Prove: n 2 + 1 ³ 2 n, when 1 £ n £ 4. Proof: By cases (exhaustive proof): Consider all possible values of n:
Positive: 33 %
Proof by Contraposition . ... then P(x) is false. Step 3. Prove the contrapositive statement by direct proof: ... n . n = 2 . (some integer) + 1.
Positive: 10 %

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