Is this following series convergent? $sum_{n=1}^{20} frac{1}{n}$ [closed]












-4












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Is this series convergent or not?



$$sumlimits_{n=1}^{20}frac{1}{n}$$










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closed as unclear what you're asking by Hans Lundmark, RRL, Ali Caglayan, Peter, KM101 Jan 5 at 20:30


Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.















  • $begingroup$
    Why do you think the sum diverges?
    $endgroup$
    – Thomas Shelby
    Jan 5 at 18:17








  • 2




    $begingroup$
    How can a finite sum diverge?
    $endgroup$
    – SmileyCraft
    Jan 5 at 18:17






  • 6




    $begingroup$
    This is a finite series, so your question is senseless
    $endgroup$
    – Dr. Sonnhard Graubner
    Jan 5 at 18:17










  • $begingroup$
    It only has twenty terms!
    $endgroup$
    – Lord Shark the Unknown
    Jan 5 at 18:17






  • 1




    $begingroup$
    Yes it diverges
    $endgroup$
    – Sandeep Silwal
    Jan 5 at 18:34
















-4












$begingroup$


Is this series convergent or not?



$$sumlimits_{n=1}^{20}frac{1}{n}$$










share|cite|improve this question











$endgroup$



closed as unclear what you're asking by Hans Lundmark, RRL, Ali Caglayan, Peter, KM101 Jan 5 at 20:30


Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.















  • $begingroup$
    Why do you think the sum diverges?
    $endgroup$
    – Thomas Shelby
    Jan 5 at 18:17








  • 2




    $begingroup$
    How can a finite sum diverge?
    $endgroup$
    – SmileyCraft
    Jan 5 at 18:17






  • 6




    $begingroup$
    This is a finite series, so your question is senseless
    $endgroup$
    – Dr. Sonnhard Graubner
    Jan 5 at 18:17










  • $begingroup$
    It only has twenty terms!
    $endgroup$
    – Lord Shark the Unknown
    Jan 5 at 18:17






  • 1




    $begingroup$
    Yes it diverges
    $endgroup$
    – Sandeep Silwal
    Jan 5 at 18:34














-4












-4








-4





$begingroup$


Is this series convergent or not?



$$sumlimits_{n=1}^{20}frac{1}{n}$$










share|cite|improve this question











$endgroup$




Is this series convergent or not?



$$sumlimits_{n=1}^{20}frac{1}{n}$$







sequences-and-series






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Jan 5 at 18:25









Henning Makholm

239k17303540




239k17303540










asked Jan 5 at 18:16









Ayman ArafaAyman Arafa

22




22




closed as unclear what you're asking by Hans Lundmark, RRL, Ali Caglayan, Peter, KM101 Jan 5 at 20:30


Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.






closed as unclear what you're asking by Hans Lundmark, RRL, Ali Caglayan, Peter, KM101 Jan 5 at 20:30


Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.














  • $begingroup$
    Why do you think the sum diverges?
    $endgroup$
    – Thomas Shelby
    Jan 5 at 18:17








  • 2




    $begingroup$
    How can a finite sum diverge?
    $endgroup$
    – SmileyCraft
    Jan 5 at 18:17






  • 6




    $begingroup$
    This is a finite series, so your question is senseless
    $endgroup$
    – Dr. Sonnhard Graubner
    Jan 5 at 18:17










  • $begingroup$
    It only has twenty terms!
    $endgroup$
    – Lord Shark the Unknown
    Jan 5 at 18:17






  • 1




    $begingroup$
    Yes it diverges
    $endgroup$
    – Sandeep Silwal
    Jan 5 at 18:34


















  • $begingroup$
    Why do you think the sum diverges?
    $endgroup$
    – Thomas Shelby
    Jan 5 at 18:17








  • 2




    $begingroup$
    How can a finite sum diverge?
    $endgroup$
    – SmileyCraft
    Jan 5 at 18:17






  • 6




    $begingroup$
    This is a finite series, so your question is senseless
    $endgroup$
    – Dr. Sonnhard Graubner
    Jan 5 at 18:17










  • $begingroup$
    It only has twenty terms!
    $endgroup$
    – Lord Shark the Unknown
    Jan 5 at 18:17






  • 1




    $begingroup$
    Yes it diverges
    $endgroup$
    – Sandeep Silwal
    Jan 5 at 18:34
















$begingroup$
Why do you think the sum diverges?
$endgroup$
– Thomas Shelby
Jan 5 at 18:17






$begingroup$
Why do you think the sum diverges?
$endgroup$
– Thomas Shelby
Jan 5 at 18:17






2




2




$begingroup$
How can a finite sum diverge?
$endgroup$
– SmileyCraft
Jan 5 at 18:17




$begingroup$
How can a finite sum diverge?
$endgroup$
– SmileyCraft
Jan 5 at 18:17




6




6




$begingroup$
This is a finite series, so your question is senseless
$endgroup$
– Dr. Sonnhard Graubner
Jan 5 at 18:17




$begingroup$
This is a finite series, so your question is senseless
$endgroup$
– Dr. Sonnhard Graubner
Jan 5 at 18:17












$begingroup$
It only has twenty terms!
$endgroup$
– Lord Shark the Unknown
Jan 5 at 18:17




$begingroup$
It only has twenty terms!
$endgroup$
– Lord Shark the Unknown
Jan 5 at 18:17




1




1




$begingroup$
Yes it diverges
$endgroup$
– Sandeep Silwal
Jan 5 at 18:34




$begingroup$
Yes it diverges
$endgroup$
– Sandeep Silwal
Jan 5 at 18:34










1 Answer
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This is a finite sum, so it will certainly converge. If you have doubts about that, I encourage you to write out the 20 terms and see what happens.



If you're asking about $sum_{n = 1}^infty frac{1}{n}$, then consider $p$-series to see if this infinite sum converges.






share|cite|improve this answer









$endgroup$




















    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    1












    $begingroup$

    This is a finite sum, so it will certainly converge. If you have doubts about that, I encourage you to write out the 20 terms and see what happens.



    If you're asking about $sum_{n = 1}^infty frac{1}{n}$, then consider $p$-series to see if this infinite sum converges.






    share|cite|improve this answer









    $endgroup$


















      1












      $begingroup$

      This is a finite sum, so it will certainly converge. If you have doubts about that, I encourage you to write out the 20 terms and see what happens.



      If you're asking about $sum_{n = 1}^infty frac{1}{n}$, then consider $p$-series to see if this infinite sum converges.






      share|cite|improve this answer









      $endgroup$
















        1












        1








        1





        $begingroup$

        This is a finite sum, so it will certainly converge. If you have doubts about that, I encourage you to write out the 20 terms and see what happens.



        If you're asking about $sum_{n = 1}^infty frac{1}{n}$, then consider $p$-series to see if this infinite sum converges.






        share|cite|improve this answer









        $endgroup$



        This is a finite sum, so it will certainly converge. If you have doubts about that, I encourage you to write out the 20 terms and see what happens.



        If you're asking about $sum_{n = 1}^infty frac{1}{n}$, then consider $p$-series to see if this infinite sum converges.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Jan 5 at 18:57









        kkckkc

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