sooner1376
sooner1376 sooner1376
  • 04-05-2020
  • Mathematics
contestada

Write out the series given by:

Write out the series given by class=

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LammettHash
LammettHash LammettHash
  • 04-05-2020

When [tex]n=1[/tex], we have

[tex]\dfrac n{2n+1}=\dfrac1{2\cdot1+1}=\dfrac13[/tex]

When [tex]n=2[/tex], we have

[tex]\dfrac n{2n+1}=\dfrac2{2\cdot2+1}=\dfrac25[/tex]

and so on. The series is then

[tex]\displaystyle\sum_{n=1}^6\frac n{2n+1}=\frac13+\frac25+\frac37+\frac49+\frac5{11}+\frac6{13}[/tex]

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