Question

given the function notation for the explicitly defined sequence $f(n) = 2^{n - 1}$, find the fifth term of the sequence. (1 point) $f(5) = \square$

Explanation:

Step1: Substitute n = 5 into the function

We have the function \( f(n)=2^{n - 1} \). To find \( f(5) \), we substitute \( n = 5 \) into the function. So we get \( f(5)=2^{5 - 1} \).

Step2: Simplify the exponent

First, calculate the exponent: \( 5-1 = 4 \). So now the expression is \( f(5)=2^{4} \).

Step3: Calculate the power

We know that \( 2^{4}=2\times2\times2\times2 = 16 \).

Answer:

16