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求一种连加的方法

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楼主
发表于 2008-9-7 11:44:00 | 只看该作者

求一种连加的方法

1/2+1/3+1/4+......+1/51=?

(求具体数字不是范围)请大家帮忙了~thx

沙发
发表于 2008-9-7 16:49:00 | 只看该作者

这个是调和级数...应该不会要求运算的吧,因为在编程的话这是个很简单的程序...

n=1结果是1
n=2结果是1.5
n=3结果是1.83333333333333
n=4结果是2.08333333333333
n=5结果是2.28333333333333
n=6结果是2.45
n=7结果是2.59285714285714
n=8结果是2.71785714285714
n=9结果是2.82896825396825
n=10结果是2.92896825396825
n=11结果是3.01987734487734
n=12结果是3.10321067821068
n=13结果是3.18013375513376
n=14结果是3.25156232656233
n=15结果是3.31822899322899
n=16结果是3.38072899322899
n=17结果是3.43955252264076
n=18结果是3.49510807819631
n=19结果是3.54773965714368
n=20结果是3.59773965714368
n=21结果是3.64535870476273
n=22结果是3.69081325021727
n=23结果是3.73429151108684
n=24结果是3.77595817775351
n=25结果是3.81595817775351
n=26结果是3.85441971621505
n=27结果是3.89145675325208
n=28结果是3.92717103896637
n=29结果是3.96165379758706
n=30结果是3.99498713092039
n=31结果是4.02724519543652
n=32结果是4.05849519543652
n=33结果是4.08879822573955
n=34结果是4.11820999044543
n=35结果是4.14678141901686
n=36结果是4.17455919679464
n=37结果是4.20158622382167
n=38结果是4.22790201329535
n=39结果是4.25354303893638
n=40结果是4.27854303893638
n=41结果是4.30293328283881
n=42结果是4.32674280664834
n=43结果是4.34999862060183
n=44结果是4.3727258933291
n=45结果是4.39494811555132
n=46结果是4.4166872459861
n=47结果是4.43796384173078
n=48结果是4.45879717506412
n=49结果是4.47920533832942
n=50结果是4.49920533832942
n=51结果是4.51881318146668
n=52结果是4.53804395069745
n=53结果是4.55691187522575
n=54结果是4.57543039374427
n=55结果是4.59361221192609
n=56结果是4.61146935478323
n=57结果是4.62901321443235
n=58结果是4.6462545937427
n=59结果是4.66320374628507
n=60结果是4.67987041295174
n=61结果是4.69626385557469
n=62结果是4.71239288783275
n=63结果是4.72826590370577
n=64结果是4.74389090370577
n=65结果是4.75927551909038
n=66结果是4.7744270342419
n=67结果是4.78935240737623
n=68结果是4.80405828972917
n=69结果是4.81855104335236
n=70结果是4.83283675763807
n=71结果是4.84692126468032
n=72结果是4.86081015356921
n=73结果是4.8745087837062
n=74结果是4.88802229721971
n=75结果是4.90135563055305
n=76结果是4.91451352528989
n=77结果是4.9275005382769
n=78结果是4.94032105109742
n=79结果是4.95297927894552
n=80结果是4.96547927894552
n=81结果是4.97782495795786
n=82结果是4.99002007990908
n=83结果是5.00206827268017
n=84结果是5.01397303458493
n=85结果是5.02573774046728
n=86结果是5.03736564744402
n=87结果是5.04885990031759
n=88结果是5.06022353668122
n=89结果是5.0714594917374
n=90结果是5.08257060284852
n=91结果是5.09355961383753
n=92结果是5.10442917905492
n=93结果是5.11518186722696
n=94结果是5.1258201650993
n=95结果是5.13634648088877
n=96结果是5.14676314755544
n=97结果是5.15707242590596
n=98结果是5.16727650753861
n=99结果是5.17737751763962
n=100结果是5.18737751763962
n=101结果是5.19727850773863
n=102结果是5.20708242930726
n=103结果是5.21679116717134
n=104结果是5.22640655178672
n=105结果是5.23593036131053
n=106结果是5.24536432357468
n=107结果是5.2547101179672
n=108结果是5.26396937722646
n=109结果是5.27314368915307
n=110结果是5.28223459824398
n=111结果是5.29124360725299
n=112结果是5.30017217868156
n=113结果是5.30902173620368
n=114结果是5.31779366602824
n=115结果是5.32648931820216
n=116结果是5.33511000785733
n=117结果是5.34365701640434
n=118结果是5.35213159267553
n=119结果是5.36053495402006
n=120结果是5.3688682873534
n=121结果是5.37713275016331
n=122结果是5.38532947147479
n=123结果是5.3934595527756
n=124结果是5.40152406890463
n=125结果是5.40952406890463
n=126结果是5.41746057684114
n=127结果是5.42533459258917
n=128结果是5.43314709258917
n=129结果是5.44089903057367
n=130结果是5.44859133826598
n=131结果是5.45622492605224
n=132结果是5.463800683628
n=133结果是5.47131948062048
n=134结果是5.47878216718764
n=135结果是5.48618957459505
n=136结果是5.49354251577152
n=137结果是5.50084178584451
n=138结果是5.50808816265611
n=139结果是5.51528240726042
n=140结果是5.52242526440328
n=141结果是5.52951746298484
n=142结果是5.53655971650597
n=143结果是5.54355272349897
n=144结果是5.55049716794342
n=145结果是5.55739371966756
n=146结果是5.56424303473605
n=147结果是5.57104575582448
n=148结果是5.57780251258124
n=149结果是5.58451392197721
n=150结果是5.59118058864388
n=151结果是5.59780310520017
n=152结果是5.60438205256859
n=153结果是5.61091800028101
n=154结果是5.61741150677452
n=155结果是5.62386311967774
n=156结果是5.630273376088
n=157结果是5.63664280283959
n=158结果是5.64297191676364
n=159结果是5.64926122493974
n=160结果是5.65551122493974
n=161结果是5.66172240506397
n=162结果是5.66789524457014
n=163结果是5.67403021389529
n=164结果是5.6801277748709
n=165结果是5.68618838093151
n=166结果是5.69221247731705
n=167结果是5.69820050126915
n=168结果是5.70415288222153
n=169结果是5.71007004198484
n=170结果是5.71595239492602
n=171结果是5.72180034814239
n=172结果是5.72761430163076
n=173结果是5.73339464845157
n=174结果是5.73914177488836
n=175结果是5.74485606060264
n=176结果是5.75053787878446
n=177结果是5.75618759629858
n=178结果是5.76180557382667
n=179结果是5.76739216600544
n=180结果是5.772947721561
n=181结果是5.77847258343945
n=182结果是5.78396708893396
n=183结果是5.78943156980828
n=184结果是5.79486635241697
n=185结果是5.80027175782238
n=186结果是5.8056481019084
n=187结果是5.81099569549129
n=188结果是5.81631484442746
n=189结果是5.82160584971846
n=190结果是5.8268690076132
n=191结果是5.83210460970744
n=192结果是5.83731294304077
n=193结果是5.84249429019103
n=194结果是5.84764892936629
n=195结果是5.85277713449449
n=196结果是5.85787917531082
n=197结果是5.8629553174428
n=198结果是5.86800582249331
n=199结果是5.87303094812145
n=200结果是5.87803094812145
n=201结果是5.88300607249956
n=202结果是5.88795656754906
n=203结果是5.89288267592344
n=204结果是5.89778463670776
n=205结果是5.90266268548825
n=206结果是5.90751705442028
n=207结果是5.91234797229468
n=208结果是5.91715566460237
n=209结果是5.92194035359759
n=210结果是5.92670225835949
n=211结果是5.93144159485238
n=212结果是5.93615857598446
n=213结果是5.94085341166521
n=214结果是5.94552630886147
n=215结果是5.95017747165217
n=216结果是5.9548071012818
n=217结果是5.95941539621268
n=218结果是5.96400255217598
n=219结果是5.96856876222164
n=220结果是5.97311421676709
n=221结果是5.97763910364492
n=222结果是5.98214360814943
n=223结果是5.98662791308216
n=224结果是5.99109219879645
n=225结果是5.99553664324089
n=226结果是5.99996142200196
n=227结果是6.00436670834557
n=228结果是6.00875267325785
n=229结果是6.01311948548492
n=230结果是6.01746731157188
n=231结果是6.02179631590088
n=232结果是6.02610666072847
n=233结果是6.03039850622203
n=234结果是6.03467201049554
n=235结果是6.03892732964447
n=236结果是6.04316461778007
n=237结果是6.04738402706277
n=238结果是6.05158570773503
n=239结果是6.05576980815344
n=240结果是6.05993647482011
n=241结果是6.06408585241347
n=242结果是6.06821808381843
n=243结果是6.07233331015588
n=244结果是6.07643167081162
n=245结果是6.08051330346468
n=246结果是6.08457834411508
n=247结果是6.08862692711104
n=248结果是6.09265918517555
n=249结果是6.09667524943258
n=250结果是6.10067524943258
n=251结果是6.1046593131776
n=252结果是6.10862756714585
n=253结果是6.11258013631581
n=254结果是6.11651714418983
n=255结果是6.12043871281728
n=256结果是6.12434496281728
n=257结果是6.12823601340094
n=258结果是6.13211198239319
n=259结果是6.13597298625419
n=260结果是6.13981914010034
n=261结果是6.14365055772486
n=262结果是6.14746735161799
n=263结果是6.15126963298682
n=264结果是6.15505751177469
n=265结果是6.15883109668035
n=266结果是6.1625904951766
n=267结果是6.16633581352866
n=268结果是6.17006715681224
n=269结果是6.1737846289312
n=270结果是6.1774883326349
n=271结果是6.18117836953527
n=272结果是6.1848548401235
n=273结果是6.18851784378651
n=274结果是6.192167478823
n=275结果是6.19580384245937
n=276结果是6.19942703086517
n=277结果是6.20303713916841
n=278结果是6.20663426147057
n=279结果是6.21021849086125
n=280结果是6.21378991943268
n=281结果是6.21734863829389
n=282结果是6.22089473758467
n=283结果是6.22442830648927
n=284结果是6.22794943324983
n=285结果是6.23145820517965
n=286结果是6.23495470867616
n=287结果是6.23843902923365
n=288结果是6.24191125145587
n=289结果是6.24537145906833
n=290结果是6.2488197349304
n=291结果是6.25225616104723
n=292结果是6.25568081858148
n=293结果是6.25909378786476
n=294结果是6.26249514840898
n=295结果是6.26588497891745
n=296结果是6.26926335729583
n=297结果是6.27263036066283
n=298结果是6.27598606536082
n=299结果是6.27933054696617
n=300结果是6.2826638802995

板凳
发表于 2008-9-7 16:51:00 | 只看该作者

高等数学里面也只提到这个级数是发散的...国内考研也没这种要求的...最多记住大概范围就够了


[此贴子已经被作者于2008-9-7 17:05:21编辑过]
地板
 楼主| 发表于 2008-9-7 18:03:00 | 只看该作者

哦……这样啊……

因为鸡精里有条这样的题,所以稍微困惑了一下

一个数列, an=
                    
n-1/(n+1)
, 求前
50项的和为多少?

谢谢啦~

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