Write a Nonrecursive Formula for the Nth Term of the Arithmetic

Multiple Choice

Write a nonrecursive formula for the nth term of the arithmetic sequence {an} based on the given
information.
- $$a _ { 1 } = \frac { 1 } { 2 } , d = \frac { 2 } { 3 }$$

A) $a _ { n } = \frac { 2 } { 3 } n + \frac { 1 } { 6 }$
B) $a _ { n } = - \frac { 1 } { 6 } n + \frac { 2 } { 3 }$
C) $a _ { n } = - \frac { 1 } { 6 } n - \frac { 2 } { 3 }$
D) $a _ { n } = \frac { 2 } { 3 } n - \frac { 1 } { 6 }$