# CMPS 130 Computational Models Homework Assignment 1 solution

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• Read sections 0.1 through 0.4 of the book.
• Exercises from pages 25, 26 and 27 of book: 0.1 through 0.9.
• Problems page 27 in 2nd ed 0.10 through 0.12 or in 3rd ed 0.10, 0.12 and 0.13.
• Prove from the definitions of set union, intersection, complement and equality that
(A ∩ B) = (A ∪ B)
• Show the set of odd numbers is countable.
• Prove by induction on n.
For all n ∈ N ,
Xn
i=1
i
2 =
n(n + 1)(2n + 1)
6
.
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