Write the First Four Terms of the Sequence Whose General $$a _ { n } = \frac { n } { n ^ { 2 } + 2 }$$

question 13

Multiple Choice

Write the first four terms of the sequence whose general term is given.
- $$a _ { n } = \frac { n } { n ^ { 2 } + 2 }$$

• A) \(\frac { 1 } { 3 } , \frac { 3 } { 11 } , \frac { 2 } { 9 } , \frac { 5 } { 27 }\)
• B) \(\frac { 1 } { 3 } , \frac { 1 } { 3 } , \frac { 3 } { 8 } , \frac { 2 } { 5 }\)
• C) \(\frac { 1 } { 2 } , \frac { 1 } { 3 } , \frac { 3 } { 8 } , \frac { 2 } { 5 }\)
• D) \(\frac { 1 } { 3 } , \frac { 1 } { 3 } , \frac { 3 } { 11 } , \frac { 2 } { 9 }\)

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Definitions:

Puzzle Box

A problem-solving task used in experiments, often with animals, to study learning and behavior.

Shaping

A method used in behavioral psychology to gradually train a new behavior by reinforcing successive approximations of the desired behavior.

Successive Approximations

A technique in behaviorism where behaviors are broken down into small tasks and each one is mastered in turn leading towards a target behavior.

Desired Response

The expected or targeted reaction or outcome from a given stimulus or action.