Write the First Six Terms of the Sequence Beginning with the Given

question 19

Multiple Choice

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
​a_n = an _{- 1} - n

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

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Definitions:

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