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公务员考试数字推理试题集和答案1.2,5,11,23,47,()A.95 B.93 C.97 D.91答案:A解析:后项=前项×2+1,47×2+1=95。2.1,4,9,16,25,()A.36 B.30 C.32 D.34答案:A解析:平方数列,1²,2²,…,6²=36。3.3,3,6,18,72,()A.360 B.288 C.432 D.144答案:A解析:倍数依次×1,×2,×3,×4,×5,72×5=360。4.1,2,6,24,120,()A.720 B.600 C.504 D.840答案:A解析:阶乘数列,5!=120,6!=720。5.1,1,2,3,5,8,()A.13 B.11 C.15 D.12答案:A解析:斐波那契,F7=13。6.256,128,64,32,16,()A.8 B.4 C.2 D.1答案:A解析:等比公比1/2,16÷2=8。7.1,3,7,15,31,()A.63 B.62 C.61 D.60答案:A解析:差值2,4,8,16,下一差32,31+32=63。8.1,8,27,64,125,()A.216 B.196 C.256 D.343答案:A解析:立方数列,6³=216。9.5,10,17,26,37,()A.50 B.48 C.46 D.44答案:A解析:差值5,7,9,11,下一差13,37+13=50。10.1,2,5,14,41,()A.122 B.120 C.118 D.116答案:A解析:递推aₙ=3aₙ₋₁-1,41×3-1=122。11.1,4,10,22,46,()A.94 B.92 C.90 D.88答案:A解析:差值3,6,12,24,下一差48,46+48=94。12.2,3,5,9,17,()A.33 B.31 C.29 D.27答案:A解析:差值1,2,4,8,下一差16,17+16=33。13.1,3,8,19,42,()A.89 B.87 C.85 D.83答案:A解析:递推aₙ=2aₙ₋₁+n-2,42×2+5=89。14.1,2,6,15,31,()A.56 B.54 C.52 D.50答案:A解析:差值1,4,9,16,下一差25,31+25=56。15.1,5,13,29,61,()A.125 B.123 C.121 D.119答案:A解析:差值4,8,16,32,下一差64,61+64=125。16.1,1,3,7,17,()A.41 B.39 C.37 D.35答案:A解析:递推aₙ=2aₙ₋₁+aₙ₋₂,17×2+7=41。17.1,2,5,13,34,()A.89 B.87 C.85 D.83答案:A解析:递推aₙ=3aₙ₋₁-aₙ₋₂,34×3-13=89。18.1,3,4,8,15,27,()A.50 B.48 C.46 D.44答案:A解析:三阶和aₙ=aₙ₋₁+aₙ₋₂+aₙ₋₃,15+8+27=50。19.1,2,4,7,11,()A.16 B.15 C.14 D.13答案:A解析:差值1,2,3,4,下一差5,11+5=16。20.1,3,6,10,15,()A.21 B.20 C.19 D.18答案:A解析:三角数,T6=21。21.1,4,9,16,25,36,()A.49 B.48 C.47 D.46答案:A解析:7²=49。22.1,8,27,64,125,216,()A.343 B.324 C.361 D.400答案:A解析:7³=343。23.1,1,2,4,7,13,()A.24 B.22 C.20 D.18答案:A解析:三阶和,13+7+4=24。24.1,2,4,8,16,32,()A.64 B.48 C.56 D.40答案:A解析:2⁶=64。25.1,5,14,30,55,()A.91 B.90 C.89 D.88答案:A解析:差值4,9,16,25,下一差36,55+36=91。26.1,2,6,24,120,720,()A.5040 B.4320 C.3600 D.2880答案:A解析:7!=5040。27.1,3,7,15,31,63,()A.127 B.126 C.125 D.124答案:A解析:2ⁿ-1,2⁷-1=127。28.1,4,13,40,121,()A.364 B.360 C.358 D.356答案:A解析:递推aₙ=3aₙ₋₁+1,121×3+1=364。29.1,2,3,5,8,13,21,()A.34 B.33 C.32 D.31答案:A解析:F9=34。30.1,3,8,21,55,()A.144 B.143 C.142 D.141答案:A解析:递推aₙ=3aₙ₋₁-aₙ₋₂,55×3-21=144。31.1,5,11,19,29,()A.41 B.40 C.39 D.38答案:A解析:差值4,6,8,10,下一差12,29+12=41。32.1,2,5,12,29,()A.70 B.68 C.66 D.64答案:A解析:递推aₙ=2aₙ₋₁+aₙ₋₂,29×2+12=70。33.1,3,9,27,81,()A.243 B.240 C.239 D.238答案:A解析:3⁵=243。34.1,4,16,64,256,()A.1024 B.960 C.900 D.840答案:A解析:4⁵=1024。35.1,2,4,7,11,16,()A.22 B.21 C.20 D.19答案:A解析:差值1,2,3,4,5,下一差6,16+6=22。36.1,3,6,11,19,32,()A.53 B.52 C.51 D.50答案:A解析:差值2,3,5,8,13,下一差21,32+21=53。37.1,2,4,8,15,26,()A.42 B.41 C.40 D.39答案:A解析:差值1,2,4,7,11,下一差16,26+16=42。38.1,5,13,25,41,()A.61 B.60 C.59 D.58答案:A解析:差值4,8,12,16,下一差20,41+20=61。39.1,2,5,13,34,89,()A.233 B.232 C.231 D.230答案:A解析:递推aₙ=3aₙ₋₁-aₙ₋₂,89×3-34=233。40.1,1,2,3,5,8,13,21,34,()A.55 B.54 C.53 D.52答案:A解析:F10=55。41.1,4,9,16,25,36,49,()A.64 B.63 C.62 D.61答案:A解析:8²=64。42.1,8,27,64,125,216,343,()A.512 B.500 C.480 D.460答案:A解析:8³=512。43.1,2,6,24,120,720,5040,()A.40320 B.40000 C.38000 D.36000答案:A解析:8!=40320。44.1,3,7,15,31,63,127,()A.255 B.254 C.253 D.252答案:A解析:2⁸-1=255。45.1,2,4,8,16,32,64,128,()A.256 B.240 C.224 D.192答案:A解析:2⁸=256。46.1,5,11,19,29,41,55,()A.71 B.70 C.69 D.68答案:A解析:差值4,6,8,10,12,14,下一差16,55+16=71。47.1,2,5,12,29,70,()A.169 B.168 C.167 D.166答案:A解析:递推aₙ=2aₙ₋₁+aₙ₋₂,70×2+29=169。48.1,3,9,27,81,243,729,()A.2187 B.2000 C.1980 D.1800答案:A解析:3⁷=2187。49.1,4,16,64,256,1024,()A.4096 B.4000 C.3800 D.3600答案:A解析:4⁶=4096。50.1,2,3,5,8,13,21,34,55,89,()A.144 B.143 C.142 D.141答案:A解析:F11=144。51.1,1,2,4,7,13,24,44,()A.81 B.80 C.79 D.78答案:A解析:三阶和,44+24+13=81。52.1,2,4,7,11,16,22,29,()A.37 B.36 C.35 D.34答案:A解析:差值1,2,3,4,5,6,7,下一差8,29+8=37。53.1,3,6,11,19,32,53,()A.87 B.86 C.85 D.84答案:A解析:差值2,3,5,8,13,21,下一差34,53+34=87。54.1,2,4,8,15,26,42,64,()A.93 B.92 C.91 D.90答案:A解析:差值1,2,4,7,11,16,22,下一差29,64+29=93。55.1,5,13,25,41,61,85,()A.113 B.112 C.111 D.110答案:A解析:差值4,8,12,16,20,24,下一差28,85+28=113。56.1,2,5,13,34,89,233,()A.610 B.609 C.608 D.607答案:A解析:递推aₙ=3aₙ₋₁-aₙ₋₂,233×3-89=610。57.1,1,2,3,5,8,13,21,34,55,89,144,()A.233 B.232 C.231 D.230答案:A解析:F12=233。58.1,4,9,16,25,36,49,64,81,()A.100 B.99 C.98 D.97答案:A解析:10²=100。59.1,8,27,64,125,216,343,512,729,()A.1000 B.999 C.998 D.997答案:A解析:10³=1000。60.1,2,6,24,120,720,5040,40320,362880,()A.3628800 B.3600000 C.3500000 D.3400000答案:A解析:10!=3628800。61.1,3,7,15,31,63,127,255,511,()A.1023 B.1022 C.1021 D.1020答案:A解析:2¹⁰-1=1023。62.1,2,4,8,16,32,64,128,256,512,()A.1024 B.1000 C.990 D.980答案:A解析:2¹⁰=1024。63.1,5,11,19,29,41,55,71,89,()A.109 B.108 C.107 D.106答案:A解析:差值4,6,8,10,12,14,16,18,下一差20,89+20=109。64.1,2,5,12,29,70,169,()A.408 B.407 C.406 D.405答案:A解析:递推aₙ=2aₙ₋₁+aₙ₋₂,169×2+70=408。65.1,3,9,27,81,243,729,2187,6561,()A.19683 B.19000 C.18000 D.17000答案:A解析:3⁹=19683。66.1,4,16,64,256,1024,4096,16384,()A.65536 B.65000 C.64000 D.63000答案:A解析:4⁸=65536。67.1,2,3,5,8,13,21,34,55,89,144,233,()A.377 B.376 C.375 D.374答案:A解析:F13=377。68.1,1,2,4,7,13,24,44,81,149,()A.274 B.273 C.272 D.271答案:A解析:三阶和,149+81+44=274。69.1,2,4,7,11,16,22,29,37,46,()A.56 B.55 C.54 D.53答案:A解析:差值1,2,3,4,5,6,7,8,9,下一差10,46+10=56。70.1,3,6,11,19,32,53,87,142,()A.232 B.231 C.230 D.229答案:A解析:差值2,3,5,8,13,21,34,55,下一差90,142+90=232。71.1,2,4,8,15,26,42,64,93,130,()A.176 B.175 C.174 D.173答案:A解析:差值1,2,4,7,11,16,22,29,37,下一差46,130+46=176。72.1,5,13,25,41,61,85,113,145,()A.181 B.180 C.179 D.178答案:A解析:差值4,8,12,16,20,24,28,32,下一差36,145+36=181。73.1,2,5,13,34,89,233,610,1597,()A.4181 B.4180 C.4179 D.4178答案:A解析:递推aₙ=3aₙ₋₁-aₙ₋₂,1597×3-610=4181。74.1,1,2,3,5,8,13,21,34,55,89,144,233,377,()A.610 B.609 C.608 D.607答案:A解析:F14=610。75.1,4,9,16,25,36,49,64,81,100,121,()A.144 B.143 C.142 D.141答案:A解析:12²=144。76.1,8,27,64,125,216,343,512,729,1000,1331,()A.1728 B.1700 C.1690 D.1680答案:A解析:12³=1728。77.1,2,6,24,120,720,5040,40320,362880,3628800,39916800,()A.479001600 B.470000000 C.460000000 D.450000000答案:A解析:12!=479001600。78.1,3,7,15,31,63,127,255,511,1023,2047,()A.4095 B.4094 C.4093 D.4092答案:A解析:2¹²-1=4095。79.1,2,4,8,16,32,64,128,256,512,1024,2048,()A.4096 B.4000 C.3900 D.3800答案:A解析:2¹²=4096。80.1,5,11,19,29,41,55,71,89,109,131,()A.155 B.154 C.153 D.152答案:A解析:差值4,6,8,10,12,14,16,18,20,22,下一差24,131+24=155。81.1,2,5,12,29,70,169,408,985,()A.2378 B.2377 C.2376 D.2375答案:A解析:递推aₙ=2aₙ₋₁+aₙ₋₂,985×2+408=2378。82.1,3,9,27,81,243,729,2187,6561,19683,59049,()A.177147 B.177000 C.176000 D.175000答案:A解析:3¹¹=177147。83.1,4,16,64,256,1024,4096,16384,65536,262144,1048576,()A.4194304 B.4100000 C.4000000 D.3900000答案:A解析:4¹⁰=4194304。84.1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,()A.1597 B.1596 C.1595 D.1594答案:A解析:F15=1597。85.1,1,2,4,7,13,24,44,81,149,274,504,927,()A.1705 B.1704 C.1703 D.1702答案:A解析:三阶和,927+504+274=1705。86.1,2,4,7,11,16,22,29,37,46,56,67,()A.79 B.78 C.77 D.76答案:A解析:差值1,2,3,4,5,6,7,8,9,10,11,下一差12,67+12=79。87.1,3,6,11,19,32,53,87,142,232,379,()A.621 B.620 C.619 D.618答案:A解析:差值2,3,5,8,13,21,34,55,90,147,下一差242,379+242=621。88.1,2,4,8,15,26,42,64,93,130,176,231,()A.297 B.296 C.295 D.294答案:A解析:差值1,2,4,7,11,16,22,29,37,46,55,下一差66,231+66=297。89.1,5,13,25,41,61,85,113,145,181,()A.221 B.220 C.219 D.218答案:A解析:差值4,8,12,16,20,24,28,32,36,下一差40,181+40=221。90.1,2,5,13,34,89,233,610,1597,4181,10946,()A.28657 B.28656 C.28655 D.28654答案:A解析:递推aₙ=3aₙ₋₁-aₙ₋₂,10946×3-4181=28657。91.1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597,()A.2584 B.2583 C.2582 D.2581答案:A解析:F16=2584。92.1,4,9,16,25,36,49,64,81,100,121,144,169,196,()A.225 B.224 C.223 D.222答案:A解析:15²=225。93.1,8,27,64,125,216,343,512,729,1000,1331,1728,2197,2744,()A.3375 B.3374 C.3373 D.3372答案:A解析:15³=3375。94.1,2,6,24,120,720,5040,40320,362880,3628800,39916800,479001600,6227020800,()

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