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Let n be a positive integer. Which among the following statements is true? * O n+1 and n+ 2 are not relatively prime and lcm(n + 1, n + 2) = n +3. O gcd(n + 1, n + 2) = n+ 1 and lcm(n + 1, n + 2) = n+ 2. %3D None of the mentioned n + 1 and n + 2 are relatively prime and lcm(n + 1, n + 2) = (n+ 1)(n + 2).

Let n be a positive integer. Which among the following statements is true? * O n+1 and n+ 2 are not relatively prime and lcm(n + 1, n + 2) = n +3. O gcd(n + 1, n + 2) = n+ 1 and lcm(n + 1, n + 2) = n+ 2. %3D None of the mentioned n + 1 and n + 2 are relatively prime and lcm(n + 1, n + 2) = (n+ 1)(n + 2).

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 7E
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Let n be a positive integer. Which among the following statements is true? * O n+1 and n+ 2 are not relatively prime and Icm(n + 1, n + 2) = n +3. O gcd(n + 1, n + 2) = n+ 1 and lcm(n + 1, n + 2) = n+ 2. O None of the mentioned O n+1 and n + 2 are relatively prime and lcm(n + 1, n + 2) = (n+ 1)(n + 2).
Transcribed Image Text:Let n be a positive integer. Which among the following statements is true? * O n+1 and n+ 2 are not relatively prime and Icm(n + 1, n + 2) = n +3. O gcd(n + 1, n + 2) = n+ 1 and lcm(n + 1, n + 2) = n+ 2. O None of the mentioned O n+1 and n + 2 are relatively prime and lcm(n + 1, n + 2) = (n+ 1)(n + 2).
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