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Question
By taking three different values of n verify the truth of the following statement:
If n is even , then n3 is also even.
Sum
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Solution
Let the three even natural numbers be 2, 4 and 8.
Cubes of these numbers are:
\[2^3 = 8, 4^3 = 64, 8^3 = 512\] By divisibility test, it is evident that \[8, 64 \text{ and } 512\] are divisible by 2.
Thus, they are even.
This verifies the statement.
This verifies the statement.
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