Write the First Six Terms of the Sequence Beginning with the Given

Write the first six terms of the sequence beginning with the given term.Then calculate the first and second differences of the sequence.State whether the sequence has a linear model, a quadratic model, or neither. $\begin{array} { l } a _ { 0 } = 4 \\a _ { n } = \left( a _ { n - 1 } \right) ^ { 2 }\end{array}$

A) 0, 4, -16, 256, -65,536, 4,294,967,296
First differences: -228, 65,040, -4,294,836,480, $2 \times 10 ^ { 19 }$
Second differences: 12, 240, 65,280, 4,294,901,760, $2 \times 10 ^ { 19 }$
Linear
B) 0, 4, 16, 256, 65,536, 4,294,967,296
First differences: 12, 240, 65,280, 4,294,901,760, $2 \times 10 ^ { 19 }$
Second differences: -228, 65,040, -4,294,836,480, $2 \times 10 ^ { 19 }$
Quadratic
C) 4, -16, 256, -65,536, 4,294,967,296, -18,446,744,073,709,600,000
First differences: -228, 65,040, -4,294,836,480, $2 \times 10 ^ { 19 }$
Second differences: 12, 240, 65,280, 4,294,901,760, $2 \times 10 ^ { 19 }$
Neither
D) 4, 16, 256, 65,536, 4,294,967,296, 18,446,744,073,709,600,000
First differences: 12, 240, 65,280, 4,294,901,760, $2 \times 10 ^ { 19 }$
Second differences: 228, 65,040, 4,294,836,480, $2 \times 10 ^ { 19 }$
Neither
E) 0, -4, 16, -256, 65,536, -4,294,967,296
First differences: 12, 240, 65,280, 4,294,901,760, $2 \times 10 ^ { 19 }$
Second differences: -228, 65,040, -4,294,836,480, $2 \times 10 ^ { 19 }$
Quadratic