Science:Math Exam Resources/Courses/MATH101 C/April 2024/Question 13/Hint 1

In the expression $(3n)^{q}-1$, what is the dominant term? If we ignore everything but the dominant term, we should get a series whose convergence or divergence is easily verified by the p-Test (CLP Example 3.3.6). We can use a comparison test to show that the original series behaves the same way.