Question

5. Prove that the sum of three consecutive even
numbers is divisible by 6.
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Answer 1

Question:-

5. Prove that the sum of three

consecutive even numbers is divisible by 6.

Answer :-

If you see the any three consecutive numbers, you can figure out atleast one of them is divisible by 6. We can use mathematical induction for proving it mathematically. For a number to be divisible by 6, it should be divisible by 2 and 3. Since all are even numbers, the number will be divisible by 2.

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Answer 2

Answer:

you see the any three consecutive numbers, you can figure out atleast one of them is divisible by 6. We can use mathematical induction for proving it mathematically. For a number to be divisible by 6, it should be divisible by 2 and 3. Since all are even numbers, the number will be divisible by 2.