Solution:
To find the first three terms of the sequence defined as
This implies that we solve for
[tex]a_n[/tex]
for n equals 1, 2, and 3.
Thus,
first term: n=1
[tex]\begin{gathered} a_1=3(1)-8 \\ \Rightarrow a_1=-5 \end{gathered}[/tex]
second term: n =2
[tex]\begin{gathered} a_2=3(2)-8 \\ \Rightarrow a_2=-2 \end{gathered}[/tex]
third term: n = 3
[tex]\begin{gathered} a_3=3(3)-8 \\ \Rightarrow a_3=1 \end{gathered}[/tex]
Hence, the first three terms of the sequence are
[tex]-5,\text{ -2, 1}[/tex]
