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:

Dichotomous Thinking

Dichotomous thinking is a cognitive process that categorizes experiences, values, and objects into two extreme categories, such as all good or all bad.

Splitting

A defense mechanism often observed in borderline personality disorder, where a person views themselves or others as all good or all bad, with no middle ground.

Borderline Personality Disorder

A mental health disorder characterized by unstable moods, behavior, and relationships, with individuals often experiencing intense episodes of anger, depression, and anxiety.

Psychoticism

Proneness to psychotic-like symptoms, such as illusions.