Math HW help
Question Description
Here’s the hw questions.
Theorem 1. Let n be a natural number. Then 1 + 3 + 5 + . . . + (2n ? 1) = n2.
Theorem 2. Let n be a natural number. Then 13 + 23 + 33 + . . . + n3 = n2(n + 1)2/4
Theorem 3. For every natural number n, 3n > n2.
Theorem 4. For every natural number n, 5 | n5 ? n .
Theorem 5. Let A1, A2, . . . , An be a collection of n sets, n ? 2. Then A1 ? A2 ? . . . ? An =A1 ? A2 ? . . . ? An
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