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已知等比数列{a_n }的各项均为正数,且2a_1+3a_2=1,a_32=9a_2 a_6。设b_n=log_3⁡〖a_1 〗+log_3⁡〖a_2 〗+⋯+
一派護法 十九級
1樓 發表于:2014-7-26 18:26
已知等比数列{a_n }的各项均为正数,且2a_1+3a_2=1,a_32=9a_2 a_6。设b_n=log_3⁡〖a_1 〗+log_3⁡〖a_2 〗+⋯+log_3⁡〖a_n 〗,则数列{1/b_n }的前1项和为-1,前2项和为-1.3333333333333,前3项和为-1.5,前4项和为-1.6,前5项和为-1.6666666666667, 前6项和为-1.7142857142857,前7项和为-1.75,前8项和为-1.7777777777778,前9项和为-1.8,前10项和为 -1.8181818181818,前11项和为-1.8333333333333,前12项和为-1.8461538461538,前13项和为 -1.8571428571429,前14项和为-1.8666666666667,前15项和为-1.875,前16项和为 -1.8823529411765,前17项和为-1.8888888888889,前18项和为-1.8947368421053,前19项和为 -1.9,前20项和为-1.9047619047619,前21项和为-1.9090909090909,前22项和为 -1.9130434782609,前23项和为-1.9166666666667,前24项和为-1.92,前25项和为 -1.9230769230769,前26项和为-1.9259259259259,前27项和为-1.9285714285714,前28项和为 -1.9310344827586,前29项和为-1.9333333333333,前30项和为-1.9354838709677,前31项和为 -1.9375,前32项和为-1.9393939393939,前33项和为-1.9411764705882,前34项和为 -1.9428571428571,前35项和为-1.9444444444444,前36项和为-1.9459459459459,前37项和为 -1.9473684210526,前38项和为-1.9487179487179,前39项和为-1.95,前40项和为 -1.9512195121951,前41项和为-1.952380952381,前42项和为-1.953488372093,前43项和为 -1.9545454545455,前44项和为-1.9555555555556,前45项和为-1.9565217391304,前46项和为 -1.9574468085106,前47项和为-1.9583333333333,前48项和为-1.9591836734694,前49项和为 -1.96,前50项和为-1.9607843137255,前51项和为-1.9615384615385,前52项和为 -1.9622641509434,前53项和为-1.962962962963,前54项和为-1.9636363636364,前55项和为 -1.9642857142857,前56项和为-1.9649122807018,前57项和为-1.9655172413793,前58项和为 -1.9661016949153,前59项和为-1.9666666666667,前60项和为-1.9672131147541,前61项和为 -1.9677419354839,前62项和为-1.968253968254,前63项和为-1.96875,前64项和为 -1.9692307692308,前65项和为-1.969696969697,前66项和为-1.9701492537313,前67项和为 -1.9705882352941,前68项和为-1.9710144927536,前69项和为-1.9714285714286,前70项和为 -1.9718309859155,前71项和为-1.9722222222222,前72项和为-1.972602739726,前73项和为 -1.972972972973,前74项和为-1.9733333333333,前75项和为-1.9736842105263,前76项和为 -1.974025974026,前77项和为-1.974358974359,前78项和为-1.9746835443038,前79项和为 -1.975,前80项和为-1.9753086419753,前81项和为-1.9756097560976,前82项和为 -1.9759036144578,前83项和为-1.9761904761905,前84项和为-1.9764705882353,前85项和为 -1.9767441860465,前86项和为-1.9770114942529,前87项和为-1.9772727272727,前88项和为 -1.9775280898876,前89项和为-1.9777777777778,前90项和为-1.978021978022,前91项和为 -1.9782608695652,前92项和为-1.9784946236559,前93项和为-1.9787234042553,前94项和为 -1.9789473684211,前95项和为-1.9791666666667,前96项和为-1.979381443299,前97项和为 -1.9795918367347,前98项和为-1.979797979798,前99项和为-1.98,前100项和为 -1.980198019802,前101项和为-1.9803921568627,前102项和为-1.9805825242718,前103项和为 -1.9807692307692,前104项和为-1.9809523809524,前105项和为-1.9811320754717,前106项和为 -1.981308411215,前107项和为-1.9814814814815,前108项和为-1.9816513761468,前109项和为 -1.9818181818182,前110项和为-1.981981981982,前111项和为-1.9821428571429,前112项和为 -1.9823008849558,前113项和为-1.9824561403509,前114项和为-1.9826086956522,前115项和为 -1.9827586206897,前116项和为-1.982905982906,前117项和为-1.9830508474576,前118项和为 -1.9831932773109,前119项和为-1.9833333333333,前120项和为-1.9834710743802,前121项和为 -1.983606557377,前122项和为-1.9837398373984,前123项和为-1.9838709677419,前124项和为 -1.984,前125项和为-1.984126984127,前126项和为-1.9842519685039,前127项和为-1.984375,前 128项和为-1.984496124031,前129项和为-1.9846153846154,前130项和为-1.9847328244275,前 131项和为-1.9848484848485,前132项和为-1.984962406015,前133项和为-1.9850746268657,前 134项和为-1.9851851851852,前135项和为-1.9852941176471,前136项和为-1.985401459854,前 137项和为-1.9855072463768,前138项和为-1.9856115107914,前139项和为-1.9857142857143,前 140项和为-1.9858156028369,前141项和为-1.9859154929577,前142项和为-1.986013986014,前 143项和为-1.9861111111111,前144项和为-1.9862068965517,前145项和为-1.986301369863,前 146项和为-1.9863945578231,前147项和为-1.9864864864865,前148项和为-1.9865771812081,前 149项和为-1.9866666666667,前150项和为-1.9867549668874,前151项和为-1.9868421052632,前 152项和为-1.9869281045752,前153项和为-1.987012987013,前154项和为-1.9870967741935,前 155项和为-1.9871794871795,前156项和为-1.9872611464968,前157项和为-1.9873417721519,前 158项和为-1.9874213836478,前159项和为-1.9875,前160项和为-1.9875776397516,前161项和为 -1.9876543209877,前162项和为-1.9877300613497,前163项和为-1.9878048780488,前164项和为 -1.9878787878788,前165项和为-1.9879518072289,前166项和为-1.9880239520958,前167项和为 -1.9880952380952,前168项和为-1.9881656804734,前169项和为-1.9882352941176,前170项和为 -1.9883040935673,前171项和为-1.9883720930233,前172项和为-1.9884393063584,前173项和为 -1.9885057471264,前174项和为-1.9885714285714,前175项和为-1.9886363636364,前176项和为 -1.9887005649718,前177项和为-1.9887640449438,前178项和为-1.9888268156425,前179项和为 -1.9888888888889,前180项和为-1.9889502762431,前181项和为-1.989010989011,前182项和为 -1.9890710382514,前183项和为-1.9891304347826,前184项和为-1.9891891891892,前185项和为 -1.989247311828,前186项和为-1.9893048128342,前187项和为-1.9893617021277,前188项和为 -1.989417989418,前189项和为-1.9894736842105,前190项和为-1.9895287958115,前191项和为 -1.9895833333333,前192项和为-1.9896373056995,前193项和为-1.9896907216495,前194项和为 -1.9897435897436,前195项和为-1.9897959183673,前196项和为-1.989847715736,前197项和为 -1.989898989899,前198项和为-1.9899497487437,前199项和为-1.99,前200项和为 -1.9900497512438,前201项和为-1.990099009901,前202项和为-1.9901477832512,前203项和为 -1.9901960784314,前204项和为-1.990243902439,前205项和为-1.9902912621359,前206项和为 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