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(3) A. Is this set countable? {x : x Q+}{3x : x Q+} B. Use a one-to-one matching between this set and the set of

(3)

A. Is this set countable?

{x : x Q+}{3x : x Q+}

B. Use a one-to-one matching between this set and the set of natural numbers.

8. Take the sum over the first n odd natural numbers, for n = 3, 4, 5, 6, 7. What is a formula for the sum of the first odd natural numbers? Use induction to prove your formula.

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