Given the Sequence $4 + \frac { 12 } { 13 } , 4 + \frac { 19 } { 20 } , 4 + \frac { 26 } { 27 } , 4 + \frac { 33 } { 34 } , 4 + \frac { 40 } { 41 } , \ldots$

question 114

Multiple Choice

Given the sequence $4 + \frac { 12 } { 13 } , 4 + \frac { 19 } { 20 } , 4 + \frac { 26 } { 27 } , 4 + \frac { 33 } { 34 } , 4 + \frac { 40 } { 41 } , \ldots$ , write an expression for the apparent $n$ th term assuming $n$ begins with 1 .

• A) \(\frac { 36 n + 29 } { 7 n + 6 }\)
• B) \(\frac { 35 n + 30 } { 7 n + 6 }\)
• C) \(\frac { 35 n + 29 } { 7 n + 6 }\)
• D) \(\frac { 35 n + 29 } { 7 n + 7 }\)
• E) \(\frac { 36 n + 30 } { 7 n + 7 }\)

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Definitions:

Attitude Formation

The process by which people develop their outlooks and preferences based on experiences, emotions, and external influences.

Majority-Wins Scheme

A decision-making process in groups where the majority's view becomes the decision or opinion adopted by the group.

Cognitive Dissonance

The mental discomfort experienced by a person who simultaneously holds two or more contradictory beliefs, ideas, or values.

Social Conformity

The act of adjusting one's behaviors or beliefs to align with the norms or standards of a group.