Download Math266 Homework due Friday March 22 Prove the following results

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Math266 Homework due Friday March 22
Prove the following results.
Result 1. There is no largest negative rational number.
Result 2.
√
3 is irrational.
1
2
Result 3. ∀n ∈ N, the sum of the first n odd numbers is
n
X
2i − 1 = n2
i=1
Result 4.∀n ∈ N,
n
X
i=1
i(i!) = (n + 1)! − 1
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