2017-2021年北京高考数学真题分类汇编之数列

《2017-2021年北京高考数学真题分类汇编之数列》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

2017-2021ᓅὃᦪ⚪ᑖᦪᑡ.⌱⚪ᐳ5⚪1.2021•ᓅ஺“!"ᔜ⚗%᦮ᦪḄ⌴)ᦪᑡ*+G23,,஺1+42+஺3+…+1=100*ᑣnḄᨬᜧ6%A.9B.10C.11D.122.2021•ᓅ<=>ᐳ?@@A@BᑴDEFᵨḄ,HIJKᢣM*=>ᐳ?@@A%A☢OᨵQR⁐@BTᫀḄVA*WᵨIXᨵYZ.[YZIX@AḄ\41*a,஺3,஺4,2asᓫ_`cmᡂdeᦪᑡ*fgḄh%bi*bi,%*জ*ᓫ_`cvn*+

1hopqd.ai=288,05=96,v=192,ᑣ%=A.64B.96C.128D.1603.2020•ᓅᙠdeᦪᑡ1!=,ai=-9,y=-L{…ᓽ஻=1,2,…*ᑣᦪᑡ஻!A.ᨵᨬᜧ⚗*ᨵᨬ⚗B.ᨵᨬᜧ⚗*~ᨬ⚗C.~ᨬᜧ⚗*ᨵᨬ⚗D.~ᨬᜧ⚗*~ᨬ⚗4.2018•ᓅ“ᓝᙳ”"WᵨḄ*ᩋ☜ᨬᵨᦪMo*%[ᳮḄM⌕*ᓝᙳ¡¢£ᑖᡂᓝ¤*¥¦§ᑮᓝ©ᓫ*ª«ᓫ¬*ᓫḄ⚣᳛n°Ḅ±ᓫḄ⚣᳛Ḅopd²,«ᓫḄ⚣᳛%³ᑣ«¡ᓫḄ⚣᳛%A.B.*C.VPfD.3P/5.2018•ᓅ¸a,b,c,d"º»¼ᦪ,ᑣ“,஺=½”"“a,b,c,dᡂdoᦪᑡ”ḄA.ᐙᑖ¿ÀÁ⌕ᩩÃB.Á⌕¿ÀᐙᑖᩩÃC.ᐙᑖÁ⌕ᩩÃD.ÄÀᐙᑖÅÀÁ⌕ᩩÃ.ÆÇ⚪ᐳ3⚪6.2019•ᓅ¸deᦪᑡ“஻!Ḅ±஻⚗E%9,,஻2=-3,55=-10,ᑣ3=*ÈḄᨬ6%.7.2018•ᓅ¸m!"deᦪᑡ*+“1=3,஺2+a5=36,ᑣ஻”!ḄW⚗ÊË%.

28.(2017•ᓅ),deᦪᑡ1!Edoᦪᑡ(n!ÎÏai=bx=-1,Ð=%=8,ᑣ©.ÒÓ⚪(ᐳ7⚪)9.(2021•ᓅ)¸p%¼ᦪ.,~Õᦪᑡ᝞!ÎÏ᝞שឋÙ*ᑣÚ1!%vᦪᑡ:জai+p20,+஻2+p=0;ঝÞ"-1<஺4”(஻=1,2,,,,)áঞã+*£ã+1+஺*am+a+p+1)(m=L2,,,,án=[,2,).n(I)᝞æᦪᑡ1!Ḅ±ç⚗%2,-2,-2,-1,èé1!"ᔲëì%Y2ᦪᑡíîᳮᵫá(II),ᦪᑡḄ!"ðᦪᑡ*ñ஺5á(III)¸ᦪᑡ1!Ḅ±"⚗E%S”"ᔲóᙠᓽᦪᑡ1!,F§S஻2Sioឤᡂöí᝞æóᙠ*ñMᡠᨵḄpá᝞æÀóᙠ*îᳮᵫ.10.(2020•ᓅ)஻”!"~Õᦪᑡ.øMùឋÙ:2জf²1!=úûù⚗üaj(z>J),ᙠ%ᙠ⚗”——■—=a-,mafaJঝ“”⚗a“(”23),ᙠᙠ⚗!(%>/),4”=------%(I)(“”=஻(஻=1,2,•••),ᑨ-ᦪᑡ01ᔲ34ឋ6জ89ᳮᵫ<(II)(a=2nl(஻=1,2,…)ᑨ-ᦪᑡ%1ᔲ>?34ឋ6জ@ឋ6ঝ,89nᳮᵫ<(III)(ᓽ1⌴CᦪᑡD>?34ឋ6জ@ឋ6ঝE9FGHIᦪᑡ.11.(2019•ᓅN)O0ᦪᑡ,P⌱RST⚗ஹSi2⚗ஹ…ஹSim⚗(/1).(ai

3Caᑡn⚗ḄᨬpqG2s-1,D_`Gsn⚗G2s-1Ḅ⌴Caᑡាᨵ2ᔆτls=l,2,…tᦪᑡḄ⚗.12.2019•ᓅNvᓽ1Hᦪᑡ-10,D“2+10,஺3+8,+6ᡂHIᦪᑡ.1tᓽḄ⚗<2ᓽḄ஻⚗@GS,”tS,Ḅᨬpq.13.2018•ᓅNv1Hᦪᑡ,Dm=/஻2,஺2+Ḅ=52.It᝞Ḅ⚗M<ᡈὅᙠ{᦮nᦪWJ,CmCm+\>C,"+2…1Hᦪᑡ.15.2017♦ᓅNO0Hᦪᑡᓽ@HIᦪᑡd340=61=1,42+04=10,b2b4=a5.It᝞Ḅ⚗

42017-2021¬ᓅNὃᦪ¯°⚪ᑖ³´µ¶ᦪᑡὃᫀ⚪᪆⌱·⚪ᐳ5p⚪1.2021•ᓅNO0p1ᔜ⚗G᦮ᦪḄ⌴CᦪᑡDai23,(m+a2+a3+…+=100,ᑣ஻ḄᨬᜧqGA.9B.10C.11D.12ூὃ½௃ᦪᑡḄ¿ᦪᱯឋ.ூÁ⚪௃ÂÃÄÅ<ᑖ᪆Çaio=12,ᓽ"ÎÛÜCᜧ,஻=10Ýᨬᜧq©”=12?a\2—14,Si2=102,V100-512=100-102<0,}34⚪ᓽ஻=11Gᨬᜧq.ᦑ⌱FC.ூ½ß௃à⚪ὃáâᦪᑡḄ0ãᐹᨵcḄåæឋ◤⌕èᑮẆëḄìíî⚪ï᫏⚪.2.2021•ᓅNñòᐳóôôõôöᑴø@ᵨḄ(ùbcúᢣgòᐳóôôõGõ☢ýᨵþÿ⁐
ᫀḄᵨᨵ.
Ḅব஺3,஺4,45ᓫC7H"ᡂ$%ᦪᑡ()Ḅ*+bl,bl,by,.4,/ᓫC7K"12*

53456$.78“1=288,“5=96,/=192,ᑣᵨ=()A.64B.96C.128D.160ூὃ>௃$%ᦪᑡḄ⚗ABC$%ᦪᑡḄឋE.ூF⚪௃HᓄJKCLᔠNC$%ᦪᑡ2$4ᦪᑡCOPQᳮCᦪSTU.ூᑖ᪆௃XYᑭᵨᦪᑡḄ$%[⚗Ḅ)ᵨ\]^_.%ூab௃acdefcgehij$%ᦪᑡ,1k-(1WZ5)hmnᵫpᑗ=288,g4/5=96,01+«5ᦑa,=--------=192>32,^a3_ai_288_3ᵫp7C=17==ᡠ஻3=128.a.a.a.b,a—,ab.=——=&4b,b.3a,1o1b^b.ᦑb=———-=128.32ᦑ⌱c.ூ>௃⚪ὃḄ8⌕>ᦪᑡḄ$%[⚗Ḅ)ᵨ⌕ὃSḄTUfᦪSJpẠ⚪.3.(2020•ᓅ)ᙠ$%ᦪᑡcde[,a\=-9,as=-1.6=ma2…a”5=1,2,ᑣᦪᑡc஻e()A.ᨵᨬᜧ⚗ᨵᨬ⚗B.ᨵᨬᜧ⚗ᨬ⚗C.ᨬᜧ⚗ᨵᨬ⚗D.ᨬᜧ⚗ᨬ⚗ூὃ>௃$%ᦪᑡḄ⚗AB.ூF⚪௃ᦪJKCLᔠNC$%ᦪᑡ2$4ᦪᑡCᦪ¡ᑖ᪆.ூᑖ᪆௃ᵫ78\]$%ᦪᑡḄ⚗ABᑖ᪆¢8ᦪᑡcdehᓫ£⌴¥ᦪᑡ1¦5⚗+§n¨©6⚗ª«+¬nk®ᑖ᪆bᫀ.ூab௃a¯$%ᦪᑡcdeḄA%+d,ᵫG=-9,“5=-1,஻=

6a5-ai-1--9
o5-14±ᚍ=-9+2H-1"=2஻-ll.ᵫa“=2஻-11=0,´஻eN*,2¢8ᦪᑡcehᓫ£⌴¥ᦪᑡ1¦5⚗+§n¨©6⚗ª«+¬n.¢871=-9<0,º=63>0,73=-315<0,n=945>0+ᨬᜧ⚗¨¼½ᙳp0,1⌲ÀÁ.±ᦪᑡc஻eᨵᨬᜧ⚗ᨬ⚗.ᦑ⌱B.ூ>௃⚪ὃ$%ᦪᑡḄ⚗ABὃᦪᑡḄᦪᱯឋὃᑖ᪆Ã⚪2aÄÃ⚪Ḅh[᫏⚪.4.2018•ᓅ"“ᓝ±ÇᙳÈ”hᵨḄÊÈËÌÍÎᩋÐÑᨬÒᵨᦪS.NÓU]ÔÊ4Õ+jᳮÖḄ×ØÙ]ÚÛ⌕ÜÝᓝ±ÇᙳÈÞkjßàáÊâᑖᡂᓝ±ãäåᑮᓝçjᓫÊ話jᓫʽékjᓫÊḄ⚣᳛2ìḄ¦kjᓫÊḄ⚣᳛Ḅ45$p?î©kjᓫÊḄ⚣᳛+ᑣ©àjᓫÊḄ⚣᳛+"A.B.'*C.+,-D./P?ூὃ>௃$4ᦪᑡḄ⚗AB.ூF⚪௃ÓU⚪C.âJKCLᔠNC$%ᦪᑡ2$4ᦪᑡ.ூᑖ᪆௃ᑭᵨ$4ᦪᑡḄ⚗ABHᓄ\aᓽ¢.ூab௃a話jᓫʽékjᓫÊḄ⚣᳛2ìḄ¦kjᓫÊḄ⚣᳛Ḅ45$pî©kjᓫÊḄ⚣᳛+Ú,ᑣ©àjᓫÊḄ⚣᳛+:Tf-ᦑ⌱D.ூ>௃⚪ὃ$4ᦪᑡḄ⚗ABḄ\NὃÓU.5.2018•ᓅ"¯a,b,c,dhøùúᦪᑣ“k=bc”h“a,h,c,dᡂ$4ᦪᑡ”Ḅ"A.ᐙᑖ´ýþ⌕ᩩB.⌕ᐙᑖᩩ

7C.ᐙᑖ⌕ᩩD.ᐙᑖ⌕ᩩூὃ௃ᦪᑡḄឋᐙᑖᩩஹ⌕ᩩஹᐙ⌕ᩩ.ூ⚪௃!"#$%᧕'(.ூᑖ᪆௃᪷+ᐙᑖᩩ,⌕ᩩḄ"#-ᔠᦪᑡḄឋ/0ᑨ2ᓽ4.ூ56௃578a,b,c,dᡂᦪᑡ=ᑣad=bc,BCᦪᑡ-1=-1,1,1.FG-1X1=-1X1,Iᦪᑡ-1,-1,1,1Jᦪᑡ=ᓽ“஻”=ᔊ”Jb,c,4ᡂᦪᑡ”Ḅ⌕ᐙᑖᩩ.ᦑ⌱7B.ூR௃S⚪T⌕ὃUᐙᑖᩩ,⌕ᩩḄᑨ2=-ᔠᦪᑡḄឋJ5VS⚪ḄᐵX.Y.Z[⚪(ᐳ3^⚪)6.(2019•ᓅf)ghᦪᑡijkḄl“⚗,nS”,8“2=-3,5=-10,ᑣ“5=0,5S”Ḅᨬ^sn-10.ூὃ௃hᦪᑡḄt⚗uvhᦪᑡḄln⚗,.ூ⚪௃xy⚪z{!"#$hᦪᑡ|ᦪᑡ'(}ᳮ.ூᑖ᪆௃ᑭᵨhᦪᑡikḄl஻⚗,uvஹt⚗uvᑡz{=ai=-4,d=1,ᵫ45ḄS,Ḅᨬ^s.ூ56௃57ghᦪᑡiᓽkḄl஻⚗,n,=-3,$5=70=a.+d=-35X4>5a,+--------d=-1025ai=-4,d—\,.".a5=a\+4d=-4+4X1=0,0n(n-1)ஹ,n(n-l)1,9.81Sn=naH-------------d=-47i+-----------=—--)--,122228Y▬=4ᡈ"=5=ᨬ^snS4=S5=-10.ᦑ6ᫀn70,-10.ூR௃S⚪ὃUhᦪᑡḄ5⚗Ḅ$=ὃUhᦪᑡḄln⚗,Ḅᨬ^sḄ$=ὃUhᦪᑡḄឋẠ=ὃU}ᳮ|xy=Ạ⚪.

87.(2018•ᓅf)gikJhᦪᑡ=ai=3,“2+45=36,ᑣḄt⚗uvn=6”-3ூὃ௃hᦪᑡḄt⚗uv.ூ⚪௃xy⚪z{!"#$hᦪᑡ|ᦪᑡ.ூᑖ᪆௃ᑭᵨhᦪᑡt⚗uvᑡz{=41=3,d=6,ᵫikḄt⚗uv.ூ56௃57•••iJhᦪᑡ=஺1=3,“2+஺5=36,(a,=3+d+(i]+4d=365ai=3,d=6,ai+(n-1)d—3+(n-1)X6=6n-3.=ikḄt⚗uvn-3.ᦑ6ᫀn7a=6n-3.nூR௃S⚪ὃUhᦪᑡḄt⚗uvḄ$=ὃUhᦪᑡḄឋẠ=ὃU¡y5=ὃU¢ᦪ|z{!=JẠ⚪.a8.(2017•ᓅf)8hᦪᑡik,ᦪᑡi£kFG0=¤=-1,3=%=8,ᑣY2■=bn1.ூὃ௃hᦪᑡ|ᦪᑡḄ§ᔠ.ூ⚪௃xy⚪¨ᓄ!hᦪᑡ|ᦪᑡ.ூᑖ᪆௃ᑭᵨhᦪᑡuh=ᦪᑡu=ᯠ«5Y⚗=ᓽ4ᑮ-.ூ56௃57hᦪᑡik,ᦪᑡinkFG஺1=¤=-1,w=b4=8,ghᦪᑡḄuhnd,ᦪᑡḄunq.478=-1+3J,d=3,02=28=-q',5q=-2,=ᔍ=2.a,4—=1.%ᦑ6ᫀn71.ூR௃S⚪ὃUhᦪᑡ³ᦪᑡḄt⚗uvḄᵨ=ὃUxy.´.56⚪(ᐳ7^⚪)

99.µ2021•ᓅf¶gpn¸ᦪ.8¹ºᦪᑡikFG᝞¼´½ឋ=ᑣ¾¿“knÀᦪᑡ7জai+pNO,a2+p=0;ঝ04"-1<஺4”µ஻=1=2,,•,¶ঞᡠ+=£iÊ++஺=a+a+p+1k5m=],2,•••n=1,2,…¶.mnµI¶᝞ᦪᑡikḄlÍ⚗n2,-2,-2,-LÏÐikJᔲ4nÒ2ᦪᑡÓÔÕᳮᵫµII¶8ᦪᑡi^kJÖᦪᑡ=“5µIII¶gᦪᑡi᝞kḄl஻⚗,nS”Jᔲ×ᙠᓽᦪᑡi஻”k‘ÚS"2NoឤᡂÝÓ᝞×ᙠ=ᡠᨵḄp᝞×ᙠ=ÔÕᳮᵫ.ூὃ௃ᦪᑡḄᵨ.ூ⚪௃¨ᓄ!§ᔠ$ᑡஹ⌴àᦪᑡ|ᦪáàâ$'(}ᳮᦪá¡y.ூᑖ᪆௃µI¶ᑭᵨឋঞ=-ᔠ⚪ã/0ᑨ2=ᓽ4ᑮ6ᫀµII¶ᵫឋঞ=ä"43,ḄsåÒ=ᯠ«ᑖæᑖ᪆ᑮ"4=1=43=0=çḄs=èm=0,ᑣi஺”kḄlÍ⚗n0,0,0,1,ᑭᵨᦪáàâ$êÕ"4"+i=஻µi=l=2,3¶,O4"+4=஻+lµneN¶,ᓽ46ᫀµIII¶6b“=an+p,ᵫឋঞ/0ᑖ᪆=4ᦪᑡiíknîᦪᑡ=ᑭᵨµ2¶ïḄ-ð=ᑮPḄsåÒ=ᓽ4ᑮ6ᫀ.ூ56௃57µI¶ᦪᑡik4nò2ᦪᑡ=ᳮᵫ᝞¼=ónp=2,஺1=2,42=-2,ᡠ³ai+42+p=2,ai+42+p+l=3,ón஺3=-2,ᡠ³஺3>i஺1+஺2+õ=a\+ai+p+\],ᡠ³ᦪᑡikFGឋঞ.µII¶ឋজ,aBO,ö=0;ᵫឋঞÊ+2÷Ê=Ê+1k,ó஺3=஺1ᡈ஺3=஺1+1=04=0ᡈ04=1,804=0,ᵫឋঝ4“32஺2=0,2

10ai=O,ᑣ”“Ḅ⚗0,0,0,1,☢ᵨᦪ$%&'()=஻(i=1*2,3),Q4"+4=஻+l(஻WN),஻=05*6789⚪ᡂ<Ꮇ>஻Wk(Z20)59⚪ᡂ<.n=k+\5*B1=1,ᑣ%(.k+i)+1=a4k+5=Qj+(4A+5-j)9ᑭᵨឋIঞKL+W+5-MCN*,10W4ᦇ+4=P*k+\],Q5RS4᝖+5=᝕+1*ᔲᑣ஻4W+5=ᓃY2=0RS஺5=0*ZᵫឋIঝRS஺5=஺1+஺4]1*2,^“5=0_`.aᳮRS*c44K6-J/WN*,10W4A+5=ᓃHl,Q5RS஻4K6=k+l*q+஻j+8-J|/EN*,20<4k+6=4+1,ᦇ+2,Q5RS஻4A+8=᝕+2,m+஻n+7-pEN*,1Wr4%+6=s+1,tua4k+7j),ᙠεÏÐᙠÑ⚗a”ÒS——■—=4஻%2ঝÊεËÑ⚗ᓽ(஻23),ᙠ.஻µÏÐᙠÆ⚗Ô*aiÒS-----.(I)B«=஻(஻=1,2,•Õ•),ᑨ×ᦪᑡ஻஻¤ᔲឋIজ*Ø)ᳮᵫ

11(H)Ba=2n-'(஻=1,2,…)*ᑨ×ᦪᑡΤᔲa5ឋIজÚឋIঝ*Ø)nᳮᵫ(III)B஻”¤⌴Üᦪᑡ*Ýa5ឋIজÚឋIঝ*()K᝞)ßàᦪᑡ.ூὃ௃ßàᦪᑡḄឋI.ூá⚪௃Ðᙠâwᔠ'ᑡஹ⌴%ᦪᑡ^ᦪ$%&'äåæᳮ.2aJ9ூᑖ᪆௃(I)ᵫ_A_=_£N*,ᓽR}⍝ឋI.a222a.(H)ÊËḄiÚM^^=22ì1=2i-j6N*,nÐᙠ=2i-),RSaf2aJឋIজÊËḄ஻*îï=2"-1=—^=221-1,=஻=2ð/ᓽR*nÐᙠᨵ°!Ññò/ÒÒSóᡂ<*ᦑឋIঝ.(III)ᐜᵨö('()ᦪᑡnᯠឤùᡈឤû*üᵨᦪ$%&'()Îý¤ßàᦪᑡ*ᓽR.22a,aa,ூ»௃K(I)*ᳮᵫK_^=_þN*,ÐᙠÑ⚗ÿ
=..a2a22(II)ᦪᑡឋজឋঝ2a.ᳮᵫḄi^^=22!11,$%i€N*,"N*+,_/,ᡠ02i-ᐵN*,*2Q4ᑣ67ᙠ*=9-),:2"'k0+^^=2">1=᝞”ឋজᡂBaf2a4Ḅn,Ea=r-'=——=^k-l-x,஻=2k-IᓽG$%HN*,/CN*,n%+&>/,•)aJᡠ02%-/G⊤NᡠᨵP᦮ᦪᡠ06ᨵRSk,/஻=2k-/,ᓽᡠ=——,ឋ%ঝᡂB.(III)✌ᐜᐜXYᦪᑡឤPᡈឤ\]X^Ꮇ`ab⌴dᦪᑡᐜ\ePfg6ᨵR⚗ijkᨬmᡈὅᨵioaip
jkᨬm+i

122%,᝞qᨵR⚗4/jkᨬm:6ᨵR⚗s=----9:01otuvw2aJ᝞ᨵx⚗a/oS+1p
jkᨬmkfg6ᨵ{”=-------01+1:|஺s=|஺/|otuᩩvwᡠ0ᦪᑡ6ᯠឤPᡈឤ\ᙠᦪᑡឤPḄᵫঝ7ᙠᑡ/+ு/,aJ$%⌴dᦪᑡ>஻>0,
RR="3>%•)a2ᓽᡠ0——=a3,:Gai,43ᡂᦪᑡalᦪ^(1)X஻=3.”ᦪᑡ9=4,aia2(2)Ꮇ`஻=kᦪᑡ4=012aJfgᵫজR—=qᦪᑡḄR⚗a,,XYaR⚗%a\ᓽGnk+]X^aJᎷ`aR⚗+1$%⌴dᦪᑡᡠ0⚗s=——=qak>ak+l9fgaka>ai9sᡠ0mᡠ0”ᑖᦪᑡ“¡¢x⚗ᓽa,"=aiq"'r,ai=a\qlx,¤¥¦%4M“ீai©ᡠCk-l<2mT-lீk,ª$%AeN*,஻?6N*,/GN*,7ᙠaS«ᡠ0vw,

13ᡠ0——--=a»*a>a>ᵫGnorir2r<-in«
aVaVar,r…noᦪᑡḄÑÒ%PḄ⌴dÓᑡß⚗Ḅᨬmk%aaaaamofIrr,-lT,ḄÑÒ%pḄ⌴dÓᑡᓽGàX.(///)ὃ⇋2s-1o2saRSᦪᙠᦪᑡ¢Ḅüý.Ïᓽ¢ᨵ2s,Ï2sᙠ2s-1þeᑣ6ᯠᙠÑÒ%5+1,+ß⚗%2sḄ⌴dÓᑡaoÑÒ%SḄ⌴dÓᑡß⚗Ḅᨬmk%2s-1vwG
2s6ᙠ2s-1þt.ÿὃ⇋⚗2s+lḄs+1Ḅ⌴ᑡ.ᦪᑡ2஻-1,2஻ᵫ2nᙠ2஻-1!"Ẇ$⌴ᑡ%&!'%(2஻)2஻-1,ᓽ!"+,⌴ᑡᨬ.ᨵ2s0.ᵫ⚪23s4ᦪᑡᐰ67ᙠ8ᦪᑡ9:;ᐰᙠ2s+l.!"2,1,4,3,6,5,...,@AB᪀⌼.ூFG௃F,(/)1,3,5,6.

14(஻)LM,N%⚗aḄ⌴ᑡaaQaanT,r„n.Aoi2«<>ioᵫ!"r*9<•In0,ᦪᑡUVWḄ஻Ḅ⌴ᑡ⚗ḄᨬXYamoZ[a»a»*a»a@UVWḄpḄ⌴ᑡTTIr2rc-l9a

15(II)ᵫm=-10,d=2,+S”Ḅ⊤¶ᯠc·ᓄFSḄᨬXY.ூFG௃F:(I)UVW@ᦪᑡa\--10,;42+10,43+8,஺4+6ᡂᦪᑡ.(43+8)2=(02+10)(04+6),Z.(-2+2J)2=d(-4+3d),F"d=2,.'.a—a\+(«-1)d--10+2஻-2—2n-12.n(II)ᵫai=-10,d—2,",n(n-l)C2,11ஹ22121Sn=-10஻+——------x2=À-lln=(஻---)----,224஻=5ᡈ஻=6%S”(ᨬXY-30.ூyz௃{⚪ὃ|ᦪᑡḄ⚗ஹÂ⚗¡ḄᨬXYḄὃ|ᦪᑡஹᦪᑡḄឋ£ÃẠÅÆὃ|~ᳮ)¥¦ÃẠ⚪.13.(2018•ᓅ)NUVW@ᦪᑡ;0=Ç2,௃2+஺3=5ᔊ2.(I)UᓽWḄ⚗Q(II)e%+e%+…+e%ூὃy௃ᦪᑡḄ¡Qᦪᑡ)ÉᦪḄÊᔠ.ூ¤⚪௃¥¦⚪Q·ᓄ©ªQÊᔠQᦪᑡ)ᦪᑡ.ூᑖ᪆௃(I)U“"WḄ⚗Q(II)ᓄÎᦪᑡḄ⚗ᑭᵨᦪᑡ¡Fᓽ!.ூFG௃F,(I)UVW@ᦪᑡ;஺ÏÇ2,02+03=5Ç2.!",2ai+34=5/"2,!"”=/஻2,UÐWḄ⚗Qa=ai+5-1)d=”Ḅ2,n(II)a.=M2'«,ee=2=ÔÕB2.ூyz௃{⚪ὃ|ᦪᑡÖ×ᦪᑡḄØᵨᦪᑡḄ⚗Ö×ᦪᑡ¡ὃ|¥¦.14.(2017•ᓅ)NUVW¡UÚW@Û0ᦪᑡ,Cn=/wxUÇ-bi-am,…b-nan](஻=1,2,3,…)ᐸ9ÇÖUᵨ12,…áW⊤âxi,X2,…ä3s0ᦪ9ᨬᜧn

16Ḅᦪ.(1)bᓽ=஻b=2n-1,C1C2C3ḄY:LM{Cn}@ᦪᑡQtlC(2)LM,ᡈὅé2êᦪM,7ᙠê᦮ᦪëì஻2Ç%—>MQᡈὅ7ᙠê᦮nᦪÇí"CmCm+19C/n+29…@ᦪᑡ.ூὃy௃ᦪᑡḄØᵨQᦪᑡḄឋ£.ூ¤⚪௃ᑖîïðQ·ᓄQᦪᑡ)ᦪᑡ.ூᑖ᪆௃(1)ᑖñ"஺1=1,஺2=2,ò=3,Z?i=l,bz=3,ᔊ=5,ôᐭᓽ!"cici,(?3Qᵫ(÷ᔾ)-(h\-na\)W0,ᑣÇ124BúÖᑣCn=Ç-e=1-mCn+\-C=~1ᙳᡂýQn(2)§,,ᵫbi-ain=[b\+(z-1)d\]-[a\+(z-1)4]X஻=Cb\-a

17)+(z-1)(d2-஻)ᑖ=0,>0,<0᪷ᦪᑡḄឋ%ccᓽ'()*)Cm0/1஺/2,…1ᦪᑡ234=A஻+3+—89:;᦮ᦪM,>nncᙠ;᦮ᦪᜐ*)஻2ᜐ—>M,ᑖAᵨCDEᓽ'()FG89:;ᦪM,nc>ᙠ;᦮ᦪH*)I஻2JK4>M2nLEMN3ᦪᑡ{P}R{S}ḄT⚗VW()Cn᪀⌼[ᦪ/(X)=O1-Q1XR[ᦪg(i)=bo+(dbcQQ)x—dXf᪷[ᦪឋ%ᑖdiwoR4=0fᓽ'ghCmCW1j+2•1ᦪᑡ.ூno௃nN(1)“1=1,஻2=2,673=3,b\=\,H=3,Z?3=5,I"=1Kc\=max{h\-a\}=max{Q}=Q,I஻=2KC2=max{b\-2a\,bi-2a2}=fnax{-1,-1}=-LI஻=3K;C3=fncix{b\-3

18=ফ-2)-n(2-1),=(k-1)(2-n),ᵫᦇ-l>0,~2-0,J(bk-nak)-^b\-na\)WO,!Jbi-26%-Fᓃ82€N*,~஻N2,c=fti-na\=\-n,nCn+1-Cn=-1C2~Cl=-1fACn+1-C=-18VN*ᙳᡂ,n,ᦪᑡCn
1ᦪᑡ2(2)ghNLEcN3ᦪᑡ஻஻RSḄVᑖj|☢ὃ⇋ḄCnᵫ1c82-஺2஻b-an,nnὃ⇋ᐸ¢9:£-am9(iwN*,~ᑣbi-ain=[b\+(z-1)dz]-ভ+(i-1)di]X஻=(H-am)+(/-1)(J2-d\Xn),|☢ᑖdi=0,>0,diVOজ¨Q=0,ᑣbi-am=(fei-a

19)+(z-1)(!2,I¨dzWO,ᑣ(bi-cun)-(b\-a

20)=(z-1)dzWO,ᑣ8ª«¬Ḅ;᦮ᦪ஻®,c=b\-a

21GK¯+i-Cn=-஻i,n9,ᦪᑡC“1ᦪᑡ2I°>0(bi-ain)-(-a஻n)=(z-n)>0,ᑣ8ª«¬Ḅ;᦮ᦪ஻®c=b-an=b-a

22,nnnnGKC+\-Cn=d2-0n.ᦪᑡC“1ᦪᑡ2GKm=1,ᑣciC2…1ᦪᑡ±⚪ᡂ2ঝ¨Ji>0,ᑣGK-din+chjc´ᐵªnḄcJ⚗¶ᦪj·ᦪḄcJ[ᦪᦑ>ᙠ஻{N*,*)n^mK-2V0,ᑣI஻2HK(bi-3X)~(Z?i-a

23)=(z-1)(-d

24+diWO,(;N*,FGI¹2JK,c=b]~a

25,nGKc஻+l-Cn=-0ᦑᦪᑡCn
º»m⚗¼½jᦪᑡ±⚪ᡂ;ঞ¨6/1<0,GK-஻+஺2jc´ᐵªnḄcJ⚗¶ᦪj;ᦪḄcJ[ᦪᦑ>ᙠs€N*,*)஻2sK-஻+d2>0

26ᑣI2sK,(bi-am)-(h-an)=Ci-1)(-d1n+d2)À0,(ÁN*,nnFG,IHSKiCn=bn-»b-anb.(,nnnnᓃK=------------=-a+----,nnnbi—d?=-d2஻+((/i-a1+d2)+---------nÃ-4i=A>0,d\-a\+di=B,b\-di—C,crc|☢ghN_=A஻+B+——89:;᦮ᦪM,>ᙠ;᦮ᦪH*)”Æ஻?—>M,nnnIM-BI¨cÈo,/«=[Ë------L+1],ᓺ⊤ÎÏᜧªxḄᨬᜧ᦮ᦪAcIM-BIM-BIn^mK——^An+B^Am+B=A[-!-l------L+1]+B>A»------+B=M,nAAGK±⚪ᡂ2¨C<0,<=[.τMCB|Ô],AIKcnC\M-C-B|——^An+B+——^Am+B+OA'-------------+B+C^M-C-B+B+C=M,nnAGK±⚪ᡂcFG89:;ᦪ>ᙠ;᦮ᦪm,*)I"♦஻?K—>M2nÕᔠ×˱⚪)g.LEMNÏØ3P=40+”b),=bo+nd2<ᐸ¢஻6N,ὃ⇋Xk=bo+kd2-(ao+kdi)n=(/?()-aon)+(d2-din)k,ÙᐵªkḄᦪᑡFG2c=max{c.,c}=max{b,-a,n,b-\-(d„—a)n—d,n'}'nxnxiunXun1ὃ⇋[ᦪ/(X)=ᔊ-mxR[ᦪg(i)=bo+(dc_a0)i_d,1Jᑖ᝞|:ÝcNW0,GK/(x)ḄÞß1àág(%)ḄÞß1âᱥáäàáÆâᱥá

27Ḅåæᐵ¶᝞çᯠ>ᙠ;᦮ᦪmo,*)max_f(x),g(x)=/(x)ᡈVx^mo,max[f(x)>g(x)=g(x),IVx2ê)max_f(x),g(x))=f(x)K஻=moᨵCmcÈ”+ic,”+2•1ᦪë(I;IMX/(x),g(x)=g(x),ᯠᨵg(x)¼ìᔣËᓽ->0,p(x)%FG_£L_L=4L—dii+(d,-ao)89:;ᦪ“ᯠ>ᙠ;᦮ᦪ஻“*)Ixx-x^m\,ᨵ------XCGK஻?=wx஻0mi,')IK——>M'nÝᑘ=0,GKf(x)Æg(x)ḄÞß1àáäÙfᩩàáåæᐵ¶᝞çᯠ>ᙠ;᦮ᦪ᝞*)VX'/MO,max_f(x),g(x)=/(x)ᡈVx2஻?()max_f(x),g(x)=g(x),Ùò:ᕡḼCmc,“+2•1ᦪᑡ2m+iÕËᡠö÷±⚪)g.ூøù௃ú⚪ὃûᦪᑡḄÕᔠüᵨᦪᑡḄឋ%ὃûÆÏWḄÕᔠüᵨὃû“CDE”Ḅüᵨὃûýþᑖ᪆⚪⚪Ḅὃᑖᓄὃ⚪.15.(2017•ᓅ")$%&'ᦪᑡ*«”-.&/ᦪᑡ*0-12=42+஺4=10b2b4=a5.(I)8*᝞-Ḅ:⚗<=>(II)8.?b\+b3+bs+'"+b2n-I.ூὃA௃ᦪᑡḄ8.>&'ᦪᑡC&/ᦪᑡḄDᔠ.ூF⚪௃⚪>ᓄ>DᔠG>&'ᦪᑡC&/ᦪᑡ.ூᑖ᪆௃(I)ᑭᵨK%ᩩM8N&'ᦪᑡḄ<'ᯠP8*“"-Ḅ:⚗<=>(II)ᑭᵨ$%ᩩM8N

28./=3,*ᔊ஻-1
p&/ᦪᑡ,

29ὃAᓱᱏ1.ᐙᑖᩩMஹz⌕ᩩMஹᐙ⌕ᩩMூ%|AḄ}|௃1ஹᑨ?⚪“pᑣ/'qT⊤qpnq,pq4ḄᐙᑖᩩMqppḄz⌕ᩩM.C“p=q”&Ḅ⌮ᔲ⚪p“Fqnrp”.Ḅp?qᡂᑣpᡂ.pqppzTḄᡠ^4ppḄz⌕ᩩM.᝞?P-.x>2>qLx>0.ᯠxCp,ᑣxq.&xCq,ᑣxᓽᡂ.2ஹᐙ⌕ᩩM?᝞¡ᨵ“pnq”£ᨵ“qnp”ᑣᩩMpp4ᡂḄᐙ⌕ᩩMᡈᩩM4ppᡂḄᐙ⌕ᩩM¤¥“pog”.஻Cq¦qᐙ⌕ᩩM.ூ⚪§GA¨௃ᐙ⌕ᩩMḄ⚪Ḅ§G©ᓄḄª«>⚪©z¬®¯§☢ᐙᑖᩩMCz⌕ᩩM±T.²³⚪´◤⌕²³ᐙᑖឋCz⌕ឋ▭ᐙᑖឋᳮqᐙᑖᩩM,z⌕ឋᳮqz⌕ᩩM¹ºU⚪»»¼½¾ὅḄᐵÁ.ᑨ⚪´T^ÂᵨᓄஹÃஹᱯÅÆ&§GUᓽT.ᑨᐙ⌕ᩩMḄ§Gp?জp=qq⚪ÈqapqᎷ⚪ᑣ⚪pp⚪qḄᐙᑖz⌕ᩩM>ঝp=qqᎷ⚪Èq0Pq⚪ᑣ⚪pp⚪qḄz⌕ᐙᑖᩩM>ঞp=qq⚪Èq=pq⚪ᑣ⚪pp⚪qḄᐙ⌕ᩩM>টpnqqᎷ⚪Èq=pqᎷ⚪ᑣ⚪pp⚪qḄᓽᐙᑖÍz⌕ᩩM.ঠᑨ⚪pC⚪qᡠ⊤ḄÐÑ᪷«“ÓᜧÓz⌕ÓÕÓᐙᑖ”ḄÖᑣᑨ⚪pC⚪qḄᐵÁ.ூ⚪§ᔣ௃ᐙ⌕ᩩMp¹º¹Ø%|ÙÚᡈὅÛᨵ¹uᵨḄÜÝÛᨵ³Þßàáâããzὃᑁåæ^Õ⚪qçᨵÍè^ᜧ⚪é=N꩹▤ìḄ%|Aímᐵ,ᡠ^⚪ḄÐᱯîï.2.ᦪᑡḄðᦪᱯឋ

30ூ%|AḄ}|௃1ஹ&'ᦪᑡḄ:⚗<=?a=a\+(஻-1)dbñn⚗.<=S=na\+—n(஻-1)dᡈὅnn2n(a1+a)Só--2,%(1—q)a,—aQ2ஹ&/ᦪᑡḄ:⚗<=?a=a\qn'\ñ஻⚗.<=Ḅ=---------=————Qqn1—q1—qWl)3ஹᵨðᦪḄõAᳮ&'ᦪᑡஹ&/ᦪᑡ(1)&'ᦪᑡa—a\+(n-1)d=dn+(«i-d),0
ᦪᦪḄᦪᑡ⌴ᦪᑡᳮd=0
ᦪᦪᦪḄᦪᑡᦪᑡd<0
ᦪᦪḄᦪᑡ⌴ᦪ.ᦪᑡḄ7⚗S”ᑣS"=p/+q஻(pஹgR).)p=஺
+”“-ᦪᑡcp*0
/ᵨ12ᦪḄ3456ᦪᑡ7⚪.(2):;ᦪᑡ0,q>lᡈm<0,OVqVl
;ᦪᑡ⌴ᦪᑡ)m>0,0Vgl
;ᦪᑡ+᝞-⌴ᦪᑡ.)4=1
OPᦪᑡ.)4<0
Q4ᑨSᦪᑡḄᓫUឋVOP᤮Xᦪᑡ.ூᐺ[\⚪ᑖ᪆௃ᐺ\1<ᦪᑡ+`-aba=n2+kn+2,cdḄe3ឤᡂiᑣjᦪkḄkln()nA.[-9,-8JB.[-9,-7JC.(-9,-8)D.(-9,-7)kk9524•••cd᝞eyឤᡂi,

31A3.5<——<4.5.25|-9WZW-7,ᦑ⌱0(»GN*),ᐸ஻⚗S,”ᦪᑡ+ஹ,O-SᦪᑡᑣḄᨬᜧl()abA.310B.212C.180D.1215<•••ᦪᑡ+`-ab஺1=1,ᓽ>0(஻CN*),ᑣ`=1+(«-1)d,…-n[l+l+(n-l)d]ᐸᑠn⚗Sn=-----------------------,2^n[2+(n-l)d]•••ᦪᑡq-ᦪU•••2y=j+j,2yr+d=i+y3+3d'5|d=2.•'-5/7+10=(H+10)2,a2=(2஻-1)2,n.Sn+10.n+102,1,212Q"2n—124n—2n1219ᵫ:+(__p--------ᔆ-ᓫU⌴ᦪᑡ24n-2ᦑ⌱

323.ᦪᑡḄឋ?ூᦪᑡ௃᝞OPᦪᑡ¡1⚗¢£O⚗¤VḄO⚗Ḅ:OPᦪ¥Pᦪᑡ¦§¨ᦪᑡ.¥Pᦪ§¨ᦪᑡḄᵨ©ªd⊤¬.ᦪᑡḄ⚗d0,ᑣ⌴ᦪᑡd<0,ᑣ⌴ᦪᑡ4=0,ᑣᦪᑡ(2)ᨵéᦪᑡ½¤✌êÃë“ìí”ḄÃ⚗îï¿:✌êÃ⚗ð(3)m,n€N+,ᑣ"/„=a"+Cm-n)d-,(4)s,z,p,q&i*,¿s+f=p+q,ᑣ+4=õ+Ḅᐸ½᝞a,a,öᦪᑡ½Ḅ⚗tpᱯ÷ᙢ)s+f=2p
ᨵ

33as+ai=2apb(5)ᦪᑡ+`-,+¤-ᙳᦪᑡᑣᦪᑡ+஻úûᜐ”-ýᦪᑡᐸ½m,Zᙳᦪ.(6)`-1஺"-2…4241ýᦪᑡ,-4.(7)¡1⚗þÿ
⚗⚗Ḅ⚗
Ḅ⚗Ḅ⚗
ᓽ2஻"+1=4"+4"+2
2a—an-ni+an+m<(n^m+1,n,/«GN+)n(8)a,a+k>am+2k9$”+3«
…()ᦪᑡ
,)-(✌⚗/0⌱ai).mtn4.ᦪᑡḄ5⚗,6ூ89:Ḅ;9௃ᦪᑡ=>ᦪᑡḄ?
ᦪᑡ@AB⚗
⚗Ḅ⚗ḄCDE=ᦪ,G8ᦪᑡḄ✌⚗“I,,d,KLA஻⚗)”"=஺1+(஻-1)d,ᡈὅQ8Am⚗)᝞”ᑣAn⚗)a=a+(n-in)d.nmூU⚪W᪆௃egl\G8ᦪᑡ]“”^Ḅ஻⚗_)S“=஻2+l,aᦪᑡ]b^Ḅ5⚗,6
cᑨe]b^/ᦪᑡW\f”=1g
6(I=SI=12+1=2,fg
an=Sn--1=?!"+1-(n-1)-\=2n-1,.(2,n=lb=(92n-l,n>2j஻=1kᐭ2”-1mn1W2,•..]b^/ᦪᑡὃrstᭆvḄᳮW
◀ᣵA⚗zEᦪᑡᦪᑡ
{᝞|j✌⚗}~Ḅ/ᦪᑡ
⚪bḄaᦪᑡf=ᵨᑮḄ6
ᜧm.eg2\G8ᦪᑡ]b^Ḅ⚗ᑖ)a-1,2a+l,a+7ᑣzEᦪᑡḄ5⚗,6)—W\•.•ᦪᑡ]“”^Ḅ⚗ᑖ)a-1,2a+l,a+7,2(2a+1)=஺-l+a+7,Wna=2..".ai=2-1=1,42=2X2+1=5,43=2+7=9,ᦪᑡb1)✌⚗
4),Ḅᦪᑡ

346Z=l+(n-1)X4=4n-3.nᦑᫀ:4n-3.zE⚪ḄὃrsḄᕖ,ᦪᑡḄE⌕ឋ¡
ᓽ⚗Ḅᱯ:
5£zEឋ¡ᯠW¥᪵a§✌⚗_,ᓽm.ூὃ::¨௃aᦪᑡḄ5⚗,6?=>Ḅ⚪©
zª☢¬¬ᵨḄᨬ®Ḅ⚗Ḅឋ¡
z¯°ᡈὅ±°g²:³´Ḅ89:.5.ᦪᑡḄn⚗_ூ89:Ḅ;9௃ᦪᑡ=>ᦪᑡḄ?
᝞|Eᦪᑡ@AB⚗
⚗Ḅ⚗ḄCDE=ᦪ
zEᦪᑡµ¶ᦪᑡ
·zE=ᦪµ¶ᦪᑡḄ,
,=ᵨ¸¹d1nCa,+a)⊤».ᐸa_,6)S"="“+—n(n-1)dᡈὅS"=-----------22ூU⚪W᪆௃eglL½ᦪᑡḄ஻⚗_)S”¾,4=1,55=15,ᑣSio=W\'Ld=\,5=15,55X4.*.5ai+------d=5ai+10=15,ᓽai=l,2,10X9nÂÃJSio=10oi+..—~~

3525n—4n,n<3/.T=1”4n-25n+78,n>4:¨\Ø⚪ὃÈᦪᑡḄ஻⚗ḄÙtÎḄ_Ḅa
᫏⚪
W⚪g⌕;ÛÜ⚪
ÝÍᑖÞßàáâḄᔠᳮäᵨ.ᐸåæ᪵Ḅ
⌕La§✌⚗_,
⌕La§✌⚗_A஻⚗ḄÎ.ூὃ::¨௃ᦪᑡçè=>
ᓫêὃrᦪᑡḄ⚪çèëᓫ
ìᓫêὃrí⚪§î
ᜧ⚪ì⌕ὃrḄïðᔠçᦪᑡḄᐵ89ὃr
ᱯ┯òóḄäᵨ.6.çᦪᑡḄឋ¡ூçᦪᑡ௃ôõö÷øᦪᑡù
?ᱯúᦪᑡ.᝞|Eᦪᑡ@A2⚗
⚗Ḅ⚗ḄçCDE=ᦪ
zEᦪᑡµ¶çᦪᑡ
û)AB⚗A⚗Ḅç_A⚗AB⚗Ḅç
zE=ᦪµ¶çᦪᑡḄ,ç
,ç5=ᵨ¸¹q⊤»ôqWOù.Ý\q=\g
a”)=ᦪᑡ.çᦪᑡ_ᦪᑡ᪵
ᨵÿ⚗জ஻⚗Ḅ⚗«✌⚗qᡃ⚗ᐸᢣᦪᦪḄ.ঝ#$ajl-q"5,,-----------⊤)Ḅ*☢"⚗Ḅ$.ঞ.஻7+஻=q+p,456᦮ᦪ89ᨵ1-qQn=Clp*Clq.;2.x,y,z,18ᡂAᦪᑡCy=.Eᵫ2,x,y,z,18ᡂAᦪᑡIᐸq,ᑣ18=2/,EL᜛2=3,y=%2=2X3=6.ᦑSᫀ6.U⚪ḄEWX⌕Zᵨ\Aᦪᑡ஻⚗Ḅ⚗]^_ᵨḄ`Wᓽb⍝de⚗Ḅfᯠh#ijklmmnb⚗✌⚗#iᐸoḄ⚗.ᐵqrḄst,`WuvwᦪW.ூAᦪᑡḄឋz௃

36(1)⚗Ḅ~:a=a'q"(n)znGN*).nm(2).{“”}AᦪᑡKk+l=m+n,(k,I,m,nGN*),ᑣak*ai=a*amn3.,d⚗ᦪAᦪᑡᑣNQᐭ>0,ভAᦪᑡ.a,>0(a,<0*>0a.<0(4)ᓫឋᡈI1Q{a“}⌴ᦪᑡᡈ{an}9>1Ql⌴ᦪᑡ4=1=%_ᦪᑡ4<0=”"᤮ᦪᑡ.7.AᦪᑡḄ⚗ூb¡Ḅ¢¡௃1.AᦪᑡḄv£᝞¥^ᦪᑡ¦2⚗§¨^⚗©ªḄ*^⚗ḄfA«^_ᦪ89ᦪᑡ¬Aᦪᑡ_ᦪ¬AᦪᑡḄ_ᵨ®¯g⊤)qWO.¦AᦪᑡḄv£³AᦪᑡḄ´µ⚗5¶·Ḅ᜛]¶·_ᦪ.2.AᦪᑡḄ⚗IAᦪᑡ஻”Ḅ✌⚗0,q,ᑣªḄ⚗ᓽ73.A¸⚗᝞¥ᙠab¸º»ᐭ^ᦪG,½a,G`ᡂAᦪ¾U89G¬abḄA¸⚗.G2=a'h(ÀW0)4.AᦪᑡḄ_ᵨឋz(1)⚗Ḅ~an—a*qnm,(«,?n£N*).in(2).{}Aᦪᑡ4A+/=zn+”,(k,I,m,nGN*),ᑣak*ai=a,amn3.,©⚗ᦪAᦪᑡ,ᑣAaQᐭWO,a,Â,Aᦪᑡ.(a,>0a<014ᓫឋ:=⌴ᦪᑡ;1ᡈI={}g>ll01⌴ᦪᑡ4=1=_ᦪᑡq

373ஹᦪᑡḄ▭Åᵨᦪᑡ©ËÌᑭ᳛ஹÏÐᑭÑஹÒÓÔA▭Õ⚪ḄÖᔠ.9.ᦪᑡḄ#$ூb¡Ḅb¡௃#iᦪᑡᡠᨵ⚗Ḅ$^ÙᩭÛ⌕#ḄᦪᑡAÉᦪᑡஹAᦪᑡஹAÉAᦪᑡAA_ᵨḄ`WᒹÝ(1)W:1n(a,+a)জAÉᦪᑡ*”⚗$S=nai+—n(n-1)஻ᡈS”=------------n22ঝAᦪᑡ*஻⚗$g(q=i)S”=%1-à=áâ%ᓃ¥1)\-q1-qঞå_ᵨᦪᑡḄ#$"1(1)S*=gç=1+2+3+...+஻=2n(n+1)"1(2)S”=V^2=12+22+32+...+«2=-n(nl)(2nl)++£i6S“=£4i323+33+...+n3=En(n+1)]2(3)=+(2)┯ïW:〉ᵨ«#ᦪᑡa”XḄ*஻⚗$ᐸ¸ḄÂᑖòAÉᦪᑡ$Aᦪᑡ.(3)ó⚗ôW〉ᵨ«#ᦪᑡ——-——Ḅ*஻⚗$ᐸ¸ᔜ⚗÷0ḄAÉᦪᑡᓽ——-——an°n.111=^(-------------).dnn+1

3811_1(11ᱯùIû:---------=—n(n+2)2%n2n(n-i-l)nn+l+an=<-----=J-+1—5J஻+l+VM4᎔
ᦪᑡḄ஻⚗ᡠᵨḄᦪᑡ᎔ᩭ᣸ᑡ!"#$%&'ᦪᑡ
()*ᑮ஻■+.".5"ᑖ23ᨵ5ᦪᑡ67ᦪᑡ879ᦪᑡ:;5ᦪᑡ〉=>?(ᑖ@Aஹ9ᡈDEḄᦪᑡᯠGᑖH3#ᐸᔠKᓽ(.ூᐺOP⚪ᑖ᪆௃ᐺP1UVᦪᑡW“"Z[\:43=7,45+47=26,W“"ZḄ஻⚗@S”.(I)34”kS"b(II)lb=---(/1GN*),3ᦪᑡWrZḄn⚗Tn.na—1n1ᑖ᪆:t᝞W-ZḄ3(wᵨx⚗
y᝞:Xᓝߟ11=——W(1---)+(-(-------)+.•.+(----------))2335579910150101}1"~ᦪᑡWᜐZḄ@a•43=7,஻5+஺7=26,%+2d=7}*m=3,d=2,2a+10d=26,.•?=3+2(/?-1)=2/?+1

39S—3n+~—X2-n2+2n.n2(II)ᵫ(I)V

40(4)ᨬG#ñᑮÖ▭⚪òó.*ᑮÅᫀ.2.ᙠ3ᦪᑡḄ
ᐵ⌕õÔ)öA☢Ḅ⚪(1)÷øᵨ3õÔḄÄᵨúḄÁ.(2)õÔûüᦪᑡḄᱯýþᙠᑖ᪆ᦪᑡ·⚗Ḅ¡Ạ
ᡈᑖᦪᑡ
ᡈᓄᦪᑡ.(3)ᦪᑡḄ஻⚗

⌕!"ᱯ$ᦪᑡḄ஻⚗Ḅ
%&'(.3.ᙠᵨ+,-.ᦪᑡḄ(⚗/0(1ᐸ3ᙠᜐᳮ6+⚪8)
⌕〉;ᙢ᪷>ᐹ@A⚪BCDEFḄᦪᑡḄG⚗
ᔲᑣJKᡠCDḄᦪᑡḄ⚗ᦪMN
O-.P┯RḄ(⚗/0
SOTᑮ┯RḄVW.ூᐺZ[⚪ᑖ᪆௃ᐺ[^_`/(x)=log«x(iz>0,aWl),cᦪᑡ/(“2),/(“3)
…
f(a)…3n✌⚗4,/f2Ḅgfᦪᑡ.(/)c஺iᦪ
j^k”mᡂgoᦪᑡp(஻)cᔊ,="/'(஻”)
ᦪᑡvwm஻⚗3S”;
S”.ᑖ᪆^(/)ᐜᑭᵨᩩ{P᝞)Ḅ⊤~0
OPvmḄ(⚗/0
ᵨᩭjv஻”m3goᦪᑡᓽp(//)ᐜPᦪᑡvmḄ(⚗/0
ᦪᑡv3mᑭᵨ┯Eᓽ.^j^(/)/(%)=4+(n-1)X2=2஻+2,ᓽlog“a”=2"+2,Ta”=a2n+2.2n22n4-2nanaa,1ߟvmgoᦪᑡ.5ᑖ//^bn=Ch/Qlnl—Q2"+2]oga஻2"+2-2+2a2
?+2.7ᑖn;a=0
3=஺"=2஻+2/2-2=5+1212.8ᑖS.=2X23+3X24+4X25++«+!•2"+2জ2S„=2X24+3X25+4X26++^2,,+2+஻+12"+3ঝজ-ঝT-S“=2X23+24+25++2n+2-«+1•2"+312ᑖ

412(1—2)=16+———-----(஻+1)2"+3=16+2,,+3-24-“•2"+3-2"+3.1-2L.S=n*2n+3.(14ᑖ)n^⚪ḄAὃ¡¢ᦪᑡḄ┯E.┯E〉ᵨ£(⚗gfᦪᑡ¤goᦪᑡ¥ᡂḄ¦ᦪᑡ.11.gfᦪᑡgoᦪᑡḄ§ᔠூ`©Ḅ`©௃1ஹgfᦪᑡḄឋ¬(1)/fd>0,ᑣ⌴¯gfᦪᑡp/fd<0,ᑣ⌴gfᦪᑡp/fd=0,ᑣiᦪᑡp(2)ᨵ±gfᦪᑡ²
✌³´µ“g·¸”Ḅ´⚗Eg
¹ºg£✌³´⚗»p(3)m,nGN+,¼!I(m-n)dL(4)s,t,p,q&i*,ºs+r=p+q,ᑣ᜜+g=¿+ộ
ᐸ²a”a,,a,Á3ᦪᑡ²Ḅ⚗
pᱯÂᙢ
;s+f=2p
ᨵas+at=2apb(5)ᦪᑡ{}ᙳ3gfᦪᑡ
ᑣᦪᑡ{஻Æ,+&}Ègfᦪᑡ
ᐸ²É
ᙳiᦪ.(6)a,a-1,a-2>஺2,aiÈgfᦪᑡ
/f-d.nnn(7)S⚗ÊËÌ
Í⚗3ÎEÏ´⚗Ḅgf²⚗
Ð3Îg·¸ḄÑ´⚗Ḅgf²⚗
ᓽ2a+1—Cln+an+2)n2an=an-m+a+m>n,/MGN+)n(8)a,a+bam+2k0(a.<0(a.>0(a,<0(4)ᓫáឋ^1ᡈI1={a“}3⌴¯ᦪᑡpJ1ᡈ=1'{a.,}q>l[0l

423⌴ᦪᑡpq=lo{a“}3iᦪᑡp4<0={”"}3᤮æᦪᑡ.