Alright, let's generate the first 5 terms of the sequence using the given recursive formula:
1. Start with the first term:
[tex]\[
a_1 = 8
\][/tex]
2. Generate the second term:
[tex]\[
a_2 = a_1 - 3 = 8 - 3 = 5
\][/tex]
3. Generate the third term:
[tex]\[
a_3 = a_2 - 3 = 5 - 3 = 2
\][/tex]
4. Generate the fourth term:
[tex]\[
a_4 = a_3 - 3 = 2 - 3 = -1
\][/tex]
5. Generate the fifth term:
[tex]\[
a_5 = a_4 - 3 = -1 - 3 = -4
\][/tex]
Therefore, the first 5 terms of the given sequence are:
[tex]\[
8, 5, 2, -1, -4
\][/tex]
