Find the Partial Sum $S _ { 7 }$ Of the Series

question 120

Multiple Choice

Find the partial sum $S _ { 7 }$ of the series $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { 3 + 4 ^ { n } }$ . Give your answer to five decimal places.

• A) \(S _ { 7 } = 0.18975\)
• B) \(S _ { 7 } = 0.19176\)
• C) \(S _ { 7 } = 0.18985\)
• D) \(S _ { 7 } = 0.21555\)
• E) \(S _ { 7 } = 1.60976\)

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Definitions:

Expressive Role

A term in sociology referring to the responsibility for maintaining emotional comfort and harmony within the family.

Structural-functional Theory

A sociological theory that views society as a complex system whose parts work together to promote solidarity and stability.

Latent Functions

Unintended, unrecognized consequences of activities that help a system adjust.

Manifest Functions

The recognized and intended consequences of any social pattern, process, or structure.