Answer: [tex]a_{10}[/tex] = -33
Step-by-step explanation:
-6, -9, -12, -15
The common difference is -3
d = common difference
Arithmetic sequence formula:
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1) d
[tex]a_{10}[/tex] = -6 + (10 - 1) -3
[tex]a_{10}[/tex] = -6 + 9 × -3
[tex]a_{10}[/tex] = -6 - 27
[tex]a_{10}[/tex] = -33
