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###### QUESTION 8 Consider the following propositional functions. Choose the true statements. If we know that p(1)...

QUESTION 8 Consider the following propositional functions. Choose the true statements. If we know that p(1) is true and we know that the truth of p(n) implies the truth of p(n + 1), then we know that pn) is true for all positive integers n. If we know that p(1) is true, and we know that for all positive integers, if p(n) is true then pln+2) is true, then p(n) is true for all n 2 1. If we know that p(1) and p(2) are true and we know that if p(n) and p(n + 1) are true then p(n + 2) is also true, then we can conclude that p(n) is true for all n 2 1. If we know that p(1) is true, and we know that the truth of p(n) implies the truth of p(2n), then we can conclude that p(n) is true for all even n. QUESTION 9 Consider encryption algorithms where p = letter's position in our 26- character alphabet and a is assigned to o a) f(p)= (p+3) mod 26 b) f(p) = (p+13) mod 26 c) f(p) = (3p + 7) mod 26 which of the following strings is the encrypted version of do not pass go? QX UXM AHJJ ZX MULHR YNPP SV QB ABG CNFF TB GR QRW SDWJR

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