Find a Formula for the N Th Term of the Arithmetic

Multiple Choice

Find a formula for the n th term of the arithmetic sequence. $a _ { 5 } = 13 , a _ { 9 } = 3$

A) $a _ { n } = - \frac { 5 n - 51 } { 2 }$
B) $a _ { n } = \frac { 5 n - 51 } { 2 }$
C) $a _ { n } = 23 n - 10$
D) $\alpha _ { n } = 13 n + 10$
E) $a _ { n } = - \frac { 5 n + 51 } { 2 }$