the sum of three consecutive odd number is divisible by 3 validate this statement with the help of examples
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Case 1. Let us take three consecutive numbers 3,4,5 Product of these numbers : 3 × 4 × 5 = 60. Also 60 ÷ 3=20
Case 2. Let us take another three consecutive numbers 1,2,3nProduct of these numbers : 1× 2 × 3= 6. Also 6 ÷ 3=2
Case 3. Let us take one more set of three consecutive numbers 6, 7, 8 Product of these numbers : 6× 7× 8= 336. Also 336 ÷ 4=112
From the above example it is clear that the product of three consecutive numbers is always divisible by 3
Case 2. Let us take another three consecutive numbers 1,2,3nProduct of these numbers : 1× 2 × 3= 6. Also 6 ÷ 3=2
Case 3. Let us take one more set of three consecutive numbers 6, 7, 8 Product of these numbers : 6× 7× 8= 336. Also 336 ÷ 4=112
From the above example it is clear that the product of three consecutive numbers is always divisible by 3
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