To find the first four terms of the sequence defined by the function [tex]\( f(n) = 4n \)[/tex], we will substitute the values of [tex]\( n \)[/tex] from 1 to 4 into the function one by one.
1. For [tex]\( n = 1 \)[/tex]:
[tex]\[
f(1) = 4 \times 1 = 4
\][/tex]
Thus, the first term of the sequence is 4.
2. For [tex]\( n = 2 \)[/tex]:
[tex]\[
f(2) = 4 \times 2 = 8
\][/tex]
Thus, the second term of the sequence is 8.
3. For [tex]\( n = 3 \)[/tex]:
[tex]\[
f(3) = 4 \times 3 = 12
\][/tex]
Thus, the third term of the sequence is 12.
4. For [tex]\( n = 4 \)[/tex]:
[tex]\[
f(4) = 4 \times 4 = 16
\][/tex]
Thus, the fourth term of the sequence is 16.
The first four terms of the sequence are 4, 8, 12, and 16.
