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

Question 31

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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.​ a0=4an=(an1) 2\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, 2×10192 \times 10 ^ { 19 }
Second differences: 12,240,65,280,4,294,901,760, 2×10192 \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, 2×10192 \times 10 ^ { 19 }
Second differences: -228,65,040,-4,294,836,480, 2×10192 \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, 2×10192 \times 10 ^ { 19 }
Second differences: 12,240,65,280,4,294,901,760, 2×10192 \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, 2×10192 \times 10 ^ { 19 }
Second differences: 228,65,040,4,294,836,480, 2×10192 \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, 2×10192 \times 10 ^ { 19 }
Second differences: -228,65,040,-4,294,836,480, 2×10192 \times 10 ^ { 19 }
Quadratic

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