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:

Generativity

The concern for establishing and guiding the next generation, often seen as a part of adult development.

Self-Actualization

The execution of reaching one's highest talents and potential, considered as an inherent motivation or need universal in humans.

Worthiness

The quality of deserving attention, respect, or esteem based on perceived merits or virtues.

Maturation

The process of development in which an individual matures or reaches full functionality and growth, often independent of learning or experience.