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.
?
a1 = 3
?an = an - 1 - n

A. 0, 3, 1, -2, -6, -11First differences: 3, -2, -3, -4, -5Second differences: -1, -1, -1, -1Quadratic
B. 0, 3, 1, -2, -6, -11, -17First differences: -2, -3, -4, -5, -6Second differences: 1, 1, 1, 1Linear
C. 3, 1, -2, -6, -11, -17First differences: -2, -3, -4, -5, -6Second differences: 1, 1, 1, 1Quadratic
D. 3, 1, -2, -6, -11, -17First differences: -2, -3, -4, -5, -6Second differences: -1, -1, -1, -1Quadratic
E. 0, 3, 1, -2, -6, -11First differences: 3, -2, -3, -4, -5Second differences: 1, 1, 1, 1Quadratic


Answer: D

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