Re: astonishing recurrence Message #16 Posted by David Maier on 22 May 2013, 2:25 a.m., in response to message #4 by Gilles Carpentier
The TI-Nspire CAS goes off the rails fairly quickly in approximate mode. It does have a handy function for generating sequences, however.
Approximate:
seqGen(108-((815-((1500)/(u(n-2))))/(u(n-1))),n,u,{2,20},{4,4.25})
Exact:
(seqGen(108-((815-((1500)/(u(n-2))))/(u(n-1))),n,u,{2,70},{4,((17)/(4))}))->Decimal
Approximate Exact
x0 4.0000000000000 4.0000000000000
x1 4.2500000000000 4.2500000000000
x2 4.4705882352900 4.4705882352941
x3 4.6447368420100 4.6447368421053
x4 4.7705382415800 4.7705382436261
x5 4.8557006697400 4.8557007125891
x6 4.9108466171500 4.9108474990828
x7 4.9455194518000 4.9455374041239
x8 4.9665996618000 4.9669625817627
x9 4.9727394954100 4.9800457013556
x10 4.8410665463200 4.9879794484784
x11 1.9582015026800 4.9927702880621
x12 -149.96677335313 4.9956558915066
x13 108.3266789440700 4.9973912683813
x14 100.3841271269200 4.9984339439448
x15 100.0191267431500 4.9990600719709
x16 100.0009559707500 4.9994359371468
x17 100.0000477925700 4.9996615241038
x18 100.0000023894600 4.9997969007134
x19 4.9998781354779
x20 4.9999268795046
x21 4.9999561270612
x22 4.9999736760057
x23 4.9999842055203
x24 4.9999905232822
x25 4.9999943139586
x26 4.9999965883713
x27 4.9999979530214
x28 4.9999987718123
x29 4.9999992630872
x30 4.9999995578523
x31 4.9999997347113
x32 4.9999998408268
x33 4.9999999044961
x34 4.9999999426976
x35 4.9999999656186
x36 4.9999999793712
x37 4.9999999876227
x38 4.9999999925736
x39 4.9999999955442
x40 4.9999999973265
x41 4.9999999983959
x42 4.9999999990375
x43 4.9999999994225
x44 4.9999999996535
x45 4.9999999997921
x46 4.9999999998753
x47 4.9999999999252
x48 4.9999999999551
x49 4.9999999999731
x50 4.9999999999838
x51 4.9999999999903
x52 4.9999999999942
x53 4.9999999999965
x54 4.9999999999979
x55 4.9999999999987
x56 4.9999999999992
x57 4.9999999999996
x58 4.9999999999997
x59 4.9999999999998
x60 4.9999999999999
x61 4.9999999999999
x62 5.0000000000000
x63 5.0000000000000
x64 5.0000000000000
x65 5.0000000000000
x66 5.0000000000000
x67 5.0000000000000
x68 5.0000000000000
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