1. The explicit formula an = 2–5(n-1) represents an arithmetic sequence. Write the recursive
formula for the sequence.

Answer:
[tex]a_n=2,\:a_n=a_{n-1}-5[/tex]
Step-by-step explanation:
If you map the sequence out, you get the following values:
a = 1, a(n) = 2
a = 2, a(n) = -3
a = 3, a(n) = -8
As you can see, the first term is 2 and the sequence is decreasing by 5 each time. Therefore, the answer is D.