Question

By taking three different values of n verify the truth of the following statement:

If n is even , then n³ is also even.

Answer 1

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.