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Summing Consecutive Terms and Pair Determination (Posted on 2015-11-21) Difficulty: 3 of 5
The sequence S1, S2, S3, ..... is defined by:

Sk = 1/(k2 + k), for k=1,2,.....

Find M and N, given that:

SM+ SM+1+ .....+SN = 1/29

No Solution Yet Submitted by K Sengupta    
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Solution computer solution Comment 3 of 3 |
   10   for Strt=1 to 100
   20     Low=1//(Strt^2+Strt)
   30     Tot=Low
   40     Fin=Strt+1
   50     loop
   60         High=1//(Fin^2+Fin)
   70         Tot=Tot+High
   80         if Tot>1//29 then goto *Outtahere
   90         if Tot=1//29 then print Strt,Fin:end
  100         Fin=Fin+1
  110     endloop
  115   *Outtahere
  120   next

finds 28 and 811 for M and N respectively.

  Posted by Charlie on 2015-11-21 13:11:45
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