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).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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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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