Question

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The product of three consecutive positive integer is divisible by 6.Is this statement true or false. Justify your answer.

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Answer 1

$<b><u>Yes this statement is true$

for ex :-1)2,3,4=2×3×4/6=4

2) 4,5,6=4×5×6/6=20

3)7,8,9=7×8×9/6=84

---------etc

Answer 2

Solution :

Question :

The product of three consecutive positive integer is divisible by 6.Is this statement true or false. Justify your answer.

⇒  Yes , The Product of three Consecutive Positive integer is divisible by 6 . We Know that Positive integer are +2 , +3 , +4 .............. to infinity  . Now , Consecutive means a Continuous order of number . Our Positive Starts from +2 , +3 , +4 . Multiply them and divide it by six . What we get is :

⇒ 2 * 3 * 4

⇒ 32/6 ( divide it by six )

⇒ 4

*As You can See here it is terminating , non-recurring and a Positive integer*