Asked by leo
Who proved this statement using deductive reasoning? If a, b, and c are consecutive positive numbers, then a+b+c is divisible by 3.*
CARL: Take 4, 5, and 6. 4 + 5 + 6 = 15 which is divisible by 3. So it's true. LAYLA: If we have n, n+1, and n+2, and add them together we have n+n+1+n+2=3n + 3 = 3(n+1), which is divisible by 3.
CARL: Take 4, 5, and 6. 4 + 5 + 6 = 15 which is divisible by 3. So it's true. LAYLA: If we have n, n+1, and n+2, and add them together we have n+n+1+n+2=3n + 3 = 3(n+1), which is divisible by 3.
Answers
Answered by
Reiny
Carl has illustrated the concept, while Layla has actually proven it.
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