Assume That the Sequence Converges and Find Its Limit $$a _ { 1 } = 5 , a _ { n + 1} = \sqrt { 5 a _ { n } }$$

question 140

Multiple Choice

Assume that the sequence converges and find its limit.
- $$a _ { 1 } = 5 , a _ { n + 1} = \sqrt { 5 a _ { n } }$$

• A) \(- 5\)
• B) 1
• C) 5
• D) 25

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Definitions:

Goal-Setting Theory

A psychological theory suggesting that establishing specific, measurable, achievable, relevant, and time-bound goals can significantly influence motivation and enhance performance.

Negative Reinforcement

A behavioral psychology term describing the strengthening of a behavior because a negative condition is stopped or avoided.

Desirable Behavior

Actions or conduct considered beneficial or appropriate within a specific context, often encouraged through positive reinforcement.

Positive Consequence

A favorable result or outcome that occurs as a result of an action or decision.