Find a Quadratic Model for the Sequence with the Indicated $a _ { 0 } = - 3 , a _ { 2 } = - 7 , a _ { 6 } = - 57$

Multiple Choice

Find a quadratic model for the sequence with the indicated terms. $a _ { 0 } = - 3 , a _ { 2 } = - 7 , a _ { 6 } = - 57$

A) an = $\frac { 3 } { 2 }$ n² - $\frac { 7 } { 4 }$ n - 3
B) an = -3n² + $\frac { 3 } { 2 }$ n - $\frac { 7 } { 4 }$
C) an = $- \frac { 7 } { 4 }$ n² + $\frac { 3 } { 2 }$ n - 3
D) an = - $\frac { 7 } { 4 }$ n² + $\frac { 3 } { 2 }$ n + 3
E) an = 3n² + $\frac { 3 } { 2 }$ n - $\frac { 7 } { 4 }$