Please help me prove by mathematical induction:

  +....+ 



------



NOTE that    ( of course)





n=1:  LHS:   

      RHS:     (ok for n=1)



n=k:  Hypothesis is:   +...+  = 





Let n=k+1:  Must show LHS for n=k+1 leads to :



     LHS:   +...+ 

 

           Apply hypothesis to all but  term:

         =    



           Put everything over :

         =  



           Simplifying (showing steps):

         =     



         =     



         =     



     DONE.   We've shown assuming truth for n=k  implies   truth for n=k+1.



          

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