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

question 7

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. ​
A₂ = -4
A_n = -2an _{- 1}
​

• A)-4,8,-16,32,-64,128 First differences: 12,-24,48,-96,192
• Second differences: -36,72,-144,288
• Neither
• B)0,4,8,16,32,64 First differences: 12,24,48,96,192
• Second differences: -36,72,-144,288
• Quadratic
• C)0,4,-8,16,-32,64 First differences: -36,72,-144,288
• Second differences: 12,24,48,96,192
• Linear
• D)0,-4,8,-16,32,-64 First differences: 12,24,48,96,192
• Second differences: -36,72,-144,288
• Quadratic
• E)4,-8,16,-32,64,-128 First differences: -36,72,-144,288
• Second differences: 12,24,48,96,192
• Neither

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Definitions:

Obtaining Information

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Data Analytics

The process of examining datasets to draw conclusions about the information they contain, using specialized systems and software.

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The process of extracting useful patterns, correlations, and insights from large sets of data using statistical and machine learning techniques.

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The variations in salary for similar jobs within the same sector or across different sectors, often influenced by geographical location, experience, education level, and the nature of the work.