Find a recursive rule for the nth term of the sequence.
-The second and fifth terms of an arithmetic sequence are $- 5$ and 1 , respectively.
A) $a _ { n } = a _ { n - 1 } + 2$
B) $a _ { n } = a _ { n - 1 } - 3$
C) $a _ { n } = a _ { n - 1 } + 5$
D) $a _ { n } = a _ { n - 1 } + 3$

Question

Quizplus · Accepted Answer

The difference between the second and fifth terms is $1 - (-5) = 6$, and there are $5 - 2 = 3$ steps between them, so the common difference is $6 / 3 = 2$, which matches option A.

Find a Recursive Rule for the Nth Term of the Sequence