Write an Expression for the Apparent Nth Term of the Sequence.(Assume

Multiple Choice

Write an expression for the apparent nth term of the sequence.(Assume that n begins with 1.) $\frac { 1 } { 5 } , \frac { 4 } { 25 } , \frac { 16 } { 125 } , \frac { 64 } { 625 }$

A) $a _ { n } = \frac { 4 ^ { n - 1 } } { 5 ^ { n } }$
B) $a _ { n } = \frac { 4 ^ { n - 1 } } { 5 ^ { n - 1 } }$
C) $a _ { n } = \frac { 4 ^ { n + 1 } } { 5 ^ { n + 1 } }$
D) $a _ { n } = \frac { 4 ^ { n } } { 5 ^ { n } }$
E) $a _ { n } = \frac { 4 ^ { n + 1 } } { 5 ^ { n } }$