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