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.
?
a2 = -4
an = -2an - 1
?
A. -4, 8, -16, 32, -64, 128First differences: 12, -24, 48, -96, 192Second differences: -36, 72, -144, 288Neither
B. 0, 4, 8, 16, 32, 64First differences: 12, 24, 48, 96, 192Second differences: -36, 72, -144, 288Quadratic
C. 0, 4, -8, 16, -32, 64First differences: -36, 72, -144, 288Second differences: 12, 24, 48, 96, 192Linear
D. 0, -4, 8, -16, 32, -64First differences: 12, 24, 48, 96, 192Second differences: -36, 72, -144, 288Quadratic
E. 4, -8, 16, -32, 64, -128First differences: -36, 72, -144, 288Second differences: 12, 24, 48, 96, 192Neither
Answer: A
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