Find a Quadratic Model for the Sequence with the Indicated $a _ { 0 } = 5 , a _ { 2 } = 5 , a _ { 5 } = 65$

Multiple Choice

Find a quadratic model for the sequence with the indicated terms. $a _ { 0 } = 5 , a _ { 2 } = 5 , a _ { 5 } = 65$

A) $a _ { n } = 4 n ^ { 2 } + 5$
B) $a _ { n } = 8 n + 5$
C) $a _ { n } = 4 n ^ { 2 } - 8 n - 5$
D) $a _ { n } = 4 n ^ { 2 } - 8 n + 5$
E) $a _ { n } = 4 n ^ { 2 } - 8 n + 5$