The difference of cubes of two consecutive numbers is always divisible by 3.

True

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False

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Solution

The correct option is B
False

Take two numbers, for example, 2 and 1 and check.

The difference of cubes of 2 and 1 is 7, which is not divisible by 3.

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Similar questions

Prove that the sum of cubes of three consecutive natural numbers is always divisible by 3.

The difference of cubes of two consecutive numbers is always divisible by 3.

The difference of cubes of two concecutive numbers is always divisible by 3. Is the given statement always true?

The difference of cubes of two concecutive numbers is always divisible by 3.

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