Select the First Five Terms of the Sequence $a _ { n } = 2 - \frac { 1 } { 5 ^ { n } }$

question 82

Multiple Choice

Select the first five terms of the sequence. $a _ { n } = 2 - \frac { 1 } { 5 ^ { n } }$

• A) \(\frac { 9 } { 125 } , \frac { 49 } { 25 } , \frac { 249 } { 5 } , \frac { 1249 } { 25 } , \frac { 6249 } { 125 }\)
• B) \(\frac { 9 } { 25 } , \frac { 49 } { 125 } , \frac { 249 } { 625 } , \frac { 1249 } { 3125 } , \frac { 6249 } { 5 }\)
• C) \(\frac { 5 } { 9 } , \frac { 25 } { 49 } , \frac { 125 } { 249 } , \frac { 625 } { 1249 } , \frac { 3125 } { 6249 }\)
• D) \(\frac { 49 } { 5 } , \frac { 249 } { 25 } , \frac { 1249 } { 125 } , \frac { 6249 } { 625 } , \frac { 9 } { 3125 }\)
• E) \(\frac { 9 } { 5 } , \frac { 49 } { 25 } , \frac { 249 } { 125 } , \frac { 1249 } { 625 } , \frac { 6249 } { 3125 }\)

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Definitions:

Framing

The way information is presented or structured, which can influence perception and decision-making.

Losses

The negative outcomes or reductions experienced in various contexts, such as finance, personal well-being, or competitions.

Gains

Increases or improvements, often referenced in contexts such as productivity, knowledge, or physical attributes.

Hindsight Bias

The inclination to see events as having been predictable after they have already occurred, often referred to as the "I-knew-it-all-along" phenomenon.