Prove that the sum of three successive even integers is always a multiple of 6.

Mathematics

1 answer:

zlopas [31]3 years ago

5 0

Answer:

if you see three consecutive numbers you can figure out that at least one of them is divisible by 6

Step-by-step explanation:

you can use mathematical induction by proving it mathematically. for a number to be divisible by 6, it should be divisible by 2. Since all are even numbers the number will be divisible by 2.

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Prove that the sum of three successive even integers is always a multiple of 6.​

Prove that the sum of three successive even integers is always a multiple of 6.