Answer:
d. -38
Step-by-step explanation:
Arithmetic sequence concepts:
The general rule of an arithmetic sequence is as follows:
[tex]a_{n+1} = a_{n} + d[/tex]
In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:
[tex]a_{n} = a_{1} + (n-1)*d[/tex]
In this question:
[tex]a_{1} = 10, d = -3[/tex]
17th term:
[tex]a_{17} = a_{1} + (17-1)*d = 10 + 16*(-3) = -38[/tex]
So the correct answer is:
d. -38
