Provide an Appropriate Response $\frac { s _ { 15 } + \mathrm { s } 16 } { 2 } , \frac { 2 \mathrm {~s} 15 + \mathrm { s } 16 } { 3 }$

question 231

Multiple Choice

Provide an appropriate response.
-Let sk denote the kth partial sum of the alternating harmonic series. Compute $\frac { s _ { 15 } + \mathrm { s } 16 } { 2 } , \frac { 2 \mathrm {~s} 15 + \mathrm { s } 16 } { 3 }$ , and $\frac { \mathrm { s } 15 + 2 \mathrm {~s} 16 } { 3 }$ . Which of these is closest to the exact sum ( $\left. \ln 2 \right)$ of the alternating harmonic series?

• A) \(\frac { s 15 + 2 s 16 } { 3 }\)
• B) \(\frac { 2 s 15 + s 16 } { 3 }\)
• C) \(\frac { \mathrm { s } 15 + \mathrm { s } 16 } { 2 }\)

---

Definitions:

Heredity

The genetic transfer of characteristics, whether physical or mental, from one generation to the next.

Experience

Direct observation of or participation in events as a basis of knowledge, or the practical contact with and observation of facts or events.

Scientific Method

A systematic process for gathering and testing information used in science to explore observations and answer questions.

Subjectivity

The characteristic of relying on or being affected by one's own emotions, preferences, or views instead of objective realities.