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

question 12

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 = 1
A_n = an _{- 1} + 2n
​

• A)1,5,11,19,29,41 First differences: 4,6,8,10,12
• Second differences: 2,2,2,2
• Quadratic
• B)1,5,11,19,29,41 First differences: 4,6,8,10,12
• Second differences: -2,-2,-2,-2
• Quadratic
• C)1,5,11,19,29,41 First differences: 2,2,2,2
• Second differences: 4,6,8,10,12
• Linear
• D)1,5,11,19,29,41 First differences: -2,-2,-2,2
• Second differences: 4,6,8,10,12
• Neither
• E)1,5,11,19,29,41 First differences: -2,2,-2,2
• Second differences: 4,6,8,10,12
• Linear

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Definitions:

R3

A designation for a resistor in an electrical circuit, the third identified resistor following an arbitrary or specified labeling convention.

Voltage Drop

The decrease in voltage along a conductor or component while it conducts electric current.

Applied Voltage

The electrical potential difference purposely introduced across a device or component, driving the current through it.

Resistance

An electrical quantity that measures how the device or material reduces the electric current flow through it, measured in Ohms (Ω).