Final answer:
The function f(n) = |(2/3 + 3/4i)^n| will always increase or stay the same as n increases.
Step-by-step explanation:
The function f(n) = |(2/3 + 3/4i)^n| represents the absolute value of the complex number (2/3 + 3/4i) raised to the power of n. As n increases, the magnitude of the complex number (2/3 + 3/4i)^n also increases. However, since the magnitude is always positive due to the absolute value, the function f(n) will always increase or stay the same as n increases.