Consider the Sequence Built by the Following Rule $A _ { 1 } = 1 , A _ { 2 } = 3 , A _ { n + 1 } = A _ { n } + 2 \cdot A _ { n - 1 } \text { for } n \geq 2$

question 80

Multiple Choice

Consider the sequence built by the following rule: $A _ { 1 } = 1 , A _ { 2 } = 3 , A _ { n + 1 } = A _ { n } + 2 \cdot A _ { n - 1 } \text { for } n \geq 2$ What is $A _ { 4 } ?$

• A) 6
• B) 10
• C) 11
• D) 15

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Definitions:

Texture Gradient

A depth cue in perception, indicating that a surface with a denser texture appears further away, and one with a coarser texture appears closer.

Relative Size

A perceptual cue that allows the brain to determine the size of an object in relation to others, aiding in the perception of depth and distance.

Ponzo Illusion

A visual illusion where two lines of the same length appear different in length due to converging parallel lines.

Müller-Lyer Illusion

A visual illusion in which two lines of the same length appear to be of different lengths due to the placement of arrow-like figures at the ends.