Answer:
[tex]a_n=-15+9(n-1)[/tex]
Step-by-step explanation:
The terms of the arithmetic sequence are...
-15, -6, 3, 12, ...
The first term is
a_1=-15
The common difference is
[tex]d=-6--15=9[/tex]
The equation for the nth term is given by;
[tex]a_n=a_1+(n-1)d[/tex]
We substitute the values into the formula to get;
[tex]a_n=-15+9(n-1)[/tex]
Answer:
D
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a + (n - 1)d
where a is the first term and d the common difference
d = - 6 - (- 15) = - 6 + 15 = 9, and a = - 15
[tex]a_{n}[/tex] = - 15 + 9(n - 1)
