Prove each statement in 6-9 using mathematical induction. Do not derive them from Theorem 5.2.1 or Theorem 5.2.2 For every integer n >=3, 43 + 44 + 45 + … + 4n = 4(4n-16)/3  Show that P(3) is true: 43 = 64 = 4(4n-16)/3 = 192/3 = 64 = 43 If P(k) is true then P(k + 1) is also true: 43 + 44 + 45 + … + 4k = 4(4k-16)/3  43 + 44 + 45 + … + 4k+1= 4(4k+1-16)/3

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Statements and Logic

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