Find the First Term, the Common Difference, and Give a Recursive

Multiple Choice

Find the first term, the common difference, and give a recursive formula for the arithmetic sequence.
-6 th term is $- 17 ; 15$ th term is $- 53$

A) $a _ { 1 } = 3 , d = - 4 , a _ { n } = a _ { n - 1 } - 4$
B) $a _ { 1 } = 3 , d = 4 , a _ { n } = a _ { n - 1 } + 4$
C) $a _ { 1 } = 7 , d = 4 , a _ { n } = a _ { n - 1 } + 4$
D) $a _ { 1 } = 7 , d = - 4 , a _ { n } = a _ { n - 1 } - 4$