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

question 37

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 = 0
A_n = an _{- 1} + 5
​

• A)0,5,10,15,20,25 First differences: 0,0,0,0
• Second differences: 5,5,5,5,5
• Quadratic
• B)0,5,10,15,20,25 First differences: 5,5,5,5,5
• Second differences: 0,0,0,0
• Linear
• C)0,5,10,15,20,25 First differences: 5,5,5,5,5
• Second differences: -1,-1,-1,-1
• Quadratic
• D)0,5,10,15,20,25 First differences: 5,5,5,5,5
• Second differences: 0,0,0,0
• Quadratic
• E)0,5,10,15,20,25 First differences: 0,0,0,0
• Second differences: 5,5,5,5,5
• Linear

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Definitions:

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Nuclear Family

A family unit consisting of two parents and their children, regarded in some societies as the ideal or most desirable family structure.

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The fundamental process wherein parents or guardians provide the care, socialization, and education necessary for a child's development.

Expressive Role

A social role that focuses on emotional, supportive, and nurturing behavior, typically associated with maintaining relationships and the social cohesion of groups.