Prove statements 1 and 2 using strong mathematical induction. 1. Vn Z+, if n >...

 

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Prove statements 1 and 2 using strong mathematical induction. 1. Vn € Z+, if n > 2, then n is either prime or can be written as a product of primes. You may assume that an integer is either prime or not prime. 2. Every positive integer can be written as a sum of powers of 2. In math, VnZt, n=₁-0₁ 2¹, where c₁ € {0, 1} and 2³ is the largest power of 2 less than or equal to n. (The string cjcj-1C₁Co is n's binary representation.) You may assume that all even n have co= 0 and all odd n have co = 1. Prove statements 1 and 2 using strong mathematical induction. 1. Vn € Z+, if n > 2, then n is either prime or can be written as a product of primes. You may assume that an integer is either prime or not prime. 2. Every positive integer can be written as a sum of powers of 2. In math, VnZt, n=₁-0₁ 2¹, where c₁ € {0, 1} and 2³ is the largest power of 2 less than or equal to n. (The string cjcj-1C₁Co is n's binary representation.) You may assume that all even n have co= 0 and all odd n have co = 1. Prove statements 1 and 2 using strong mathematical induction. 1. Vn € Z+, if n > 2, then n is either prime or can be written as a product of primes. You may assume that an integer is either prime or not prime. 2. Every positive integer can be written as a sum of powers of 2. In math, VnZt, n=₁-0₁ 2¹, where c₁ € {0, 1} and 2³ is the largest power of 2 less than or equal to n. (The string cjcj-1C₁Co is n's binary representation.) You may assume that all even n have co= 0 and all odd n have co = 1.

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Lets prove statement 1 and statement 2 using strong mathematical induction Statement 1 Base Case For ... View the full answer