Use the First and Second Differences of the First Five $$\begin{array} { l } a _ { 1 } = 0 \\a _ { n } = a _ { n - 1 } + 8 n\end{array}$$

question 90

Multiple Choice

Use the first and second differences of the first five terms of the given sequence to determine whether the sequence has a linear model, a quadratic model, or neither.
$$\begin{array} { l } a _ { 1 } = 0 \\a _ { n } = a _ { n - 1 } + 8 n\end{array}$$

• A) first differences: \(1,2,3,4\)
• second differences: \(1,1,1\)
• linear model
• B) first differences: \(8,24,56,120\)
• second differences: \(16,32,64\)
• linear model
• C) first differences: \(8,16,32,64\)
• second differences: \(8,16,32\)
• quadratic model
• D) first differences: \(8,24,56,120\)
• second differences: \(16,32,64\)
• quadratic model
• E) first differences: \(8,16,32,64\)
• second differences: \(8,16,32\)
• neither linear nor quadratic

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Definitions:

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