The Given Pattern Continues $2,4,8,16,32 , \ldots$ A) $a _ { n } = 2 + 2 ( n - 1 )$

question 74

Multiple Choice

The given pattern continues. Write down the nth term of the sequence suggested by the pattern.
- $2,4,8,16,32 , \ldots$

• A) \(a _ { n } = 2 + 2 ( n - 1 )\)
• B) \(a _ { n } = 2 n - 1 + 1\)
• C) \(a _ { n } = 2 n\)
• D) \(a _ { n } = 2^ n\)

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Definitions:

Extrinsic Motivation

Motivation that is driven by external rewards such as money, fame, grades, or praise, in contrast to intrinsic motivation, which is driven by personal satisfaction or interest.

Extrinsic Motivation

Encouragement stemming from external factors including wealth, recognition, scores, and compliments.

Intrinsic Motivation

The drive to perform an activity for its inherent satisfaction or pleasure, rather than for some separable consequence.

Organismic Needs

Fundamental human needs identified in various psychological theories that are innate and drive behavior, such as physiological, safety, love, and esteem needs.