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)=
, find the fifth term of the sequence.(1 point)
f(5)=
Answers
GPT-4o mini
To find the fifth term of the sequence defined by the function \( f(n) = 2^n - 1 \), we need to substitute \( n = 5 \) into the function.
\[
f(5) = 2^5 - 1
\]
Calculating \( 2^5 \):
\[
2^5 = 32
\]
Now substituting that value into the equation:
\[
f(5) = 32 - 1 = 31
\]
Thus, the fifth term of the sequence is
\[
f(5) = 31.
\]
\[
f(5) = 2^5 - 1
\]
Calculating \( 2^5 \):
\[
2^5 = 32
\]
Now substituting that value into the equation:
\[
f(5) = 32 - 1 = 31
\]
Thus, the fifth term of the sequence is
\[
f(5) = 31.
\]