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

question 24

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. ​
A₀ = 1
A_n = an _{- 1} + n
​

• A)0,1,2,-4,7,-11 First differences: 1,1,2,3,4
• Second differences: -1,1,-1,1
• Neither
• B)1,-2,4,-7,11,-16 First differences: -1,1,-1,1
• Second differences: 1,2,3,4,5
• Neither
• C)0,1,2,4,7,11 First differences: 1,1,2,3,4
• Second differences: -1,1,-1,1
• Linear
• D)0,1,2,4,7,11 First differences: 1,1,2,3,4
• Second differences: -1,1,-1,1
• Quadratic
• E)1,2,4,7,11,16 First differences: 1,2,3,4,5
• Second differences: 1,1,1,1
• Quadratic

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Definitions:

Average Property Tax

The typical amount levied on real estate by a government authority, calculated as a percentage of assessed property value and averaged across similar properties or regions.

Sales Volume

The number of units of a product sold in a given period, often used to measure the business activity level.

Property Taxes

Taxes levied by local governments on the value of real estate property owned by individuals or companies.

Sunk Cost

Expenses that are already spent and cannot be retrieved or changed by any future activities.