perplexus.info :: Sequences : Summing Consecutive Terms and Pair Determination

Summing Consecutive Terms and Pair Determination (Posted on 2015-11-21)

The sequence S₁, S₂, S₃, ..... is defined by:

S_k = 1/(k² + k), for k=1,2,.....

Find M and N, given that:

S_M+ S_M+1+ .....+S_N = 1/29

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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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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