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

question 163

Multiple Choice

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

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A law that retroactively changes the legal consequences or status of actions that were committed before the enactment of the law.

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