To find the terms, substitute n by the number of the term, according to the steps.
Step 01: Find a₁.
To do it, substitute n by 1.
[tex]\begin{gathered} a_n=-3n+9 \\ a_1=-3\cdot1+9 \\ a_1=-3+9 \\ a_1=6 \end{gathered}[/tex]
Step 02: Find a₂.
[tex]\begin{gathered} a_2=-3\cdot2+9 \\ a_2=-6+9 \\ a_2=3 \end{gathered}[/tex]
Step 03: Find a₃.
[tex]\begin{gathered} a_3=-3\cdot3+9 \\ a_3=-9+9 \\ a_3=0 \end{gathered}[/tex]
Step 04: Find a₄.
[tex]\begin{gathered} a_4=-3\cdot4+9 \\ a_4=-12+9 \\ a_4=-3 \end{gathered}[/tex]
Step 05: FInd a₅.
[tex]\begin{gathered} a_5=-3\cdot5+9 \\ a_5=-15+9 \\ a_5=-6 \end{gathered}[/tex]
In summary:
a₁ = 6
a₂ = 3
a₃ = 0
a₄ = -3
a₅ = -6
