5.2.6          Discrete Mathematics (I filled in as much as I could) A) determine which amounts of postage can be formed using just 3 - cent and 10 - cent  stamps. 3,6,9,10,12,13,15,16,18,19,21,23,24,26,27,29,30,...,L*3+H*10 C) prove your answer to (a) using strong induction. How does this inductive hypothesis in this proof differ from that in the inductive hypothesis for proof using mathematical induction? Base step: need to show is T for 3,13,26 Statment of the Base Step: 3 = L*3+H*10 non-negative integers 13 = L*3+H*10 non-negative integers 26 = L*3+H*10 non-negative integers Statment of the Base Step: 3 = 1*3+0*10 13 = 1*3+1*10 26 = 2*3+2*10 Statement of the inductive step       Proof of the inductive step       Invoke the principle of strong induction Since the base step and the inductive step are true by the principle of strong induction all amounts of postage __________ can be obtained using 3 and 10 cent stamps

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.