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.
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a0 = 1
an = an - 1 + n
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A. 0, 1, 2, -4, 7, -11First differences: 1, 1, 2, 3, 4Second differences: -1, 1, -1, 1Neither
B. 1, -2, 4, -7, 11, -16First differences: -1, 1, -1, 1Second differences: 1, 2, 3, 4, 5Neither
C. 0, 1, 2, 4, 7, 11First differences: 1, 1, 2, 3, 4Second differences: -1, 1, -1, 1Linear
D. 0, 1, 2, 4, 7, 11First differences: 1, 1, 2, 3, 4Second differences: -1, 1, -1, 1Quadratic
E. 1, 2, 4, 7, 11, 16First differences: 1, 2, 3, 4, 5Second differences: 1, 1, 1, 1Quadratic
Answer: E
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