Question

The size declarator must be \(a(n)\) _______ with a value greater than ______.

Short answer

Question: Fill in the blanks: The size declarator function a(n) should have a relationship of being ________ to n and must be greater than ________. Answer: The size declarator function a(n) should have a relationship of being proportional to n and must be greater than n.

Step-by-step solution

Relationship between a(n) and n

The relationship between a(n) and n should be that a(n) should be an increasing function of n, i.e., as n increases, a(n) should also increase for the size declarator to have an impact.

Identify the minimum value for a(n)

As the size declarator should provide a meaningful impact, we can consider that a(n) must be greater than n itself. If a(n) = n or a(n) < n, the size declarator would not be serving its purpose, as it would imply that the size is the same or smaller than the input index.

Completed statement

The size declarator must be a(n) proportional to n with a value greater than n.