Final answer:
As n increases, f(n) will also increase. The expression f(n)=|(1/2 3/4i)ⁿ| represents the absolute value of a complex number raised to the power of n.
Step-by-step explanation:
As n increases, f(n) will also increase. The expression f(n)=|(1/2 3/4i)ⁿ| represents the absolute value of a complex number raised to the power of n. When |(1/2 3/4i)ⁿ| is calculated, the magnitude of the complex number will increase exponentially with n. For example, if n=2, then f(n)=|(1/2 3/4i)²|=|1/4 - 9/16i|=√(1/16 + 81/256)=√(337/256). As n increases, the magnitude of f(n) will continue to grow.