Question -
Answer -
Solution:
Yes, the statement тАЬthe product of threeconsecutive positive integers is divisible by 6тАЭ is true.
Justification:
Consider the 3 consecutive numbers 2, 3, 4
(2 ├Ч 3 ├Ч 4)/6 = 24/6 = 4
Now, consider another 3 consecutive numbers 4,5, 6
(4 ├Ч 5 ├Ч 6)/6 = 120/6 = 20
Now, consider another 3 consecutive numbers 7,8, 9
(7 ├Ч 8 ├Ч 9)/6 = 504/6 = 84
Hence, the statement тАЬproduct of threeconsecutive positive integers is divisible by 6тАЭ is true.