## Answers

Sigma^5_k = 2 2k/k - 1 = 2 times 2/2 - 1 + 2 times 3/3 - 1 + 2 times 4/4 - 1 + 2 times 5/4 - 1 + 2 times 5/5 - 1 = 4 + 3 + 8/3 + 5/2 = 73/6 (a) q rightarrow r equiv sim q union r (b) p rightarrow q equiv sim p Union q sim r (d) Therefore sim q intersection sim p from (a) q rightarrow r from (c) sim r So, models follow sim p (Because we' are already sim q s(b) Rightarrow p rightarrow q So, by modus follow sim p) we already doing sim p and sim p So, we sim q intersection sim p Hence (d) So, is use (a) & (c) we get sim p use (a), (c),& (b) we get sim p Therefore sim q intersection sim p

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