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Show that one and only one out of n, (n+1), (n+2) is divisible by 3, where n is any positive integer.
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Show that one and only one out of n, (n+1), (n+2) is divisible by 3, w...
As, n is an integer. So,it is of the form 3k,3k+1 or 3k+2 where k is an integer.If n=3k,thenn+1=3k+1,not divisible by 3n+2=3k+2,not divisible by 3If n=3k+1(not divisible by 3),thenn+1=3k+2,not divisible by 3n+2=3k+3=3(k+1), divisible by 3If n=3k+2(not divisible by 3),thenn+1=3k+3=3(k+1),divisible by 3n+2=3k+4=3(k+1)+1,not divisible by 3Hence by seeing all the above cases,we can safely say that:out of n,n+1 and n+2,only one is divisible by 3.
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Show that one and only one out of n, (n+1), (n+2) is divisible by 3, where n is any positive integer.
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Show that one and only one out of n, (n+1), (n+2) is divisible by 3, where n is any positive integer. for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Show that one and only one out of n, (n+1), (n+2) is divisible by 3, where n is any positive integer. covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Show that one and only one out of n, (n+1), (n+2) is divisible by 3, where n is any positive integer..
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