Find the First Five Terms of the Sequence $a _ { n } = 3 \left( a _ { n - 1 } + 1 \right)$

question 56

Multiple Choice

Find the first five terms of the sequence $a _ { n } = 3 \left( a _ { n - 1 } + 1 \right)$ , where $a _ { 1 } = 1$

• A) \(a _ { 1 } = 1\), \(a _ { 2 } = 6\), \(a _ { 3 } = 21\), \(a _ { 4 } = 66\), \(a _ { 3 } = 201\)
• B) \(a _ { 1 } = 3\), \(a _ { 2 } = 9\), \(a _ { 3 } = 27\), \(a _ { 4 } = 69\), \(a _ { 3 } = 226\)
• C) \(a _ { 1 } = 3\), \(a _ { 2 } = 12\), \(a _ { 3 } = 15\), \(a _ { 4 } = 18\), \(a _ { 3 } = 21\)
• D) \(a _ { 1 } = 1\), \(a _ { 2 } = 7\), \(a _ { 3 } = 22\), \(a _ { 4 } = 67\), \(a _ { 3 } = 202\)
• E) none of these

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Definitions:

Classical Conditioning

A learning process that creates associations between a naturally occurring stimulus and a previously neutral stimulus.

Operant Conditioning

An educational technique that influences the strength of a behavior by awarding reinforcements or imposing penalties.

Operant Conditioning

An approach to teaching that relies on using incentives and penalties for actions, focusing on how outcomes affect actions.

Classical Conditioning

Learning by the method of associating an environmental stimulus with one that happens naturally.