To assess the assertion and reason provided, let’s break them down one by one:
Assertion: 4, 7, 10,... are the natural numbers of the form
- The numbers of the form
can be calculated for :- For
: - For
: - For
:
- For
So, the assertion is true as the numbers 4, 7, 10 indeed follow the form
Reason: The cube of a natural number of the form
- Let’s explore
:- For
: - For
: - For
:
- For
Now, let’s compute the cubes of these numbers:
- The cube of
is , and . - The cube of
is , and . - The cube of
is , and .
In fact, for any number of the form
So the reason is also true.
Conclusion: Both the assertion and the reason are true. Therefore, the answer would be that both the assertion and the reason are correct, and the reason supports the assertion.