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 = 0
an = an- 1 + 5
?
A. 0, 5, 10, 15, 20, 25First differences: 0, 0, 0, 0Second differences: 5, 5, 5, 5, 5Quadratic
B. 0, 5, 10, 15, 20, 25First differences: 5, 5, 5, 5, 5Second differences: 0, 0, 0, 0Linear
C. 0, 5, 10, 15, 20, 25First differences: 5, 5, 5, 5, 5Second differences: -1, -1, -1, -1Quadratic
D. 0, 5, 10, 15, 20, 25First differences: 5, 5, 5, 5, 5Second differences: 0, 0, 0, 0Quadratic
E. 0, 5, 10, 15, 20, 25First differences: 0, 0, 0, 0Second differences: 5, 5, 5, 5, 5Linear
Answer: B
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