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

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 50E: Show that if the statement 1+2+3+...+n=n(n+1)2+2 is assumed to be true for n=k, the same equation...
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O only 11 non-congruent solutions modulo 77
O None of the mentioned
O only 21 non-congruent solutions modulo 77
Let n be a positive integer. Which among the
following statements is true?
n + 1 and n +2 are relatively prime and
Icm(n + 1, n + 2) = (n + 1)(n + 2).
O None of the mentioned
n + 1 and n + 2 are not relatively prime and
Icm(n + 1, n + 2) = n +3.
gcd(n + 1, n + 2) = n + 1 and Icm(n + 1, n + 2)
=n + 2.
Transcribed Image Text:O only 11 non-congruent solutions modulo 77 O None of the mentioned O only 21 non-congruent solutions modulo 77 Let n be a positive integer. Which among the following statements is true? n + 1 and n +2 are relatively prime and Icm(n + 1, n + 2) = (n + 1)(n + 2). O None of the mentioned n + 1 and n + 2 are not relatively prime and Icm(n + 1, n + 2) = n +3. gcd(n + 1, n + 2) = n + 1 and Icm(n + 1, n + 2) =n + 2.
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