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T
T
T
T 6. (10 pts) Prove or disprove the following statement:
∀ n, m ∈ Z, If n is even and m is odd, then n + m is odd
Then write the negation of this statement and prove or disprove it.
n + m is not odd
Given that n is even and m is odd, is always going to be odd;
therefore, the negation of
the previous statement is false. 7. (10 pts) Prove the following by
induction:
n
n+1
3 n2−n
3
i
–
2=
∑
=> ∑ ( 3 i – 2 ) +(3 n+1)
2
i=1