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Provide an Appropriate Response s15+s162,2 s15+s163\frac { s _ { 15 } + \mathrm { s } 16 } { 2 } , \frac { 2 \mathrm {~s} 15 + \mathrm { s } 16 } { 3 }

Question 285

Multiple Choice

Provide an appropriate response.
-Let sk denote the kth partial sum of the alternating harmonic series. Compute s15+s162,2 s15+s163\frac { s _ { 15 } + \mathrm { s } 16 } { 2 } , \frac { 2 \mathrm {~s} 15 + \mathrm { s } 16 } { 3 } , and s15+2 s163\frac { \mathrm { s } 15 + 2 \mathrm {~s} 16 } { 3 } . Which of these is closest to the exact sum ( ln2) \left. \ln 2 \right) of the alternating harmonic series?


A) s15+2s163\frac { s 15 + 2 s 16 } { 3 }
B) 2s15+s163\frac { 2 s 15 + s 16 } { 3 }
C) s15+s162\frac { \mathrm { s } 15 + \mathrm { s } 16 } { 2 }

Correct Answer:

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