Question
Given the function notation for the explicitly defined sequence f (n) = 2"-1,
, find the fifth term
of the sequence. (1 point)
f (5)
, find the fifth term
of the sequence. (1 point)
f (5)
Answers
GPT-4o mini
To find the fifth term of the sequence given by the function \( f(n) = 2^n - 1 \), we need to evaluate \( f(5) \).
Let's compute it step-by-step:
\[
f(5) = 2^5 - 1
\]
Calculating \( 2^5 \):
\[
2^5 = 32
\]
Now, subtract 1:
\[
f(5) = 32 - 1 = 31
\]
Therefore, the fifth term of the sequence is:
\[
\boxed{31}
\]
Let's compute it step-by-step:
\[
f(5) = 2^5 - 1
\]
Calculating \( 2^5 \):
\[
2^5 = 32
\]
Now, subtract 1:
\[
f(5) = 32 - 1 = 31
\]
Therefore, the fifth term of the sequence is:
\[
\boxed{31}
\]