Latihan Bab1 Pola Dan Jujukan

 

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;.; Valk

;.0 Mumuokg

;.3 Valk hkg Mumuokg

SV;.;.; Jngingkl hkg jn jnjnrdbklokg jnrdbklokg palk pnl`kikd snt gaj`ar gaj`ar hkg a`mno hklkj on onbdhupkg bdhupkg sn`ngkr, hkg sntnrusgyk jnj`ukt rujuskg tngtkgi palk. XV; Jnjpkjnrokg pngintkbukg ksks tngtkgi mumuokg.

Valk dklkb kturkg ktku carko tnrtngtu hklkj sngkrkd gaj`ar ktku a`mno.

;. Dsd tnjpkt tnjpkt oasagi. oasagi.

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0. Luods carko sntnrusgyk `kid ikj`kr ikj`kr rkmkb hd `kwkb hkg gyktko gyktkokg kg palkgyk. k

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Valk=

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3. Lkokr 0 carko sntnrusgyk sntnrusgyk `kid ikj`kr hd `kwkb. K

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Lngiokpokg gaj`ar snid ik `nrdout `nrhkskrokg `dlkgikg o hklkj susugkg hd ktks.   ;, QQQQQQQQ, QQQQQQQQ, QQQQQQQQ, QQQQQQQQ

@k` ; VALK HKG M^M^OKG

;.; Valk

;.0 Mumuokg

;.3 Valk hkg Mumuokg

 

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HSOV

SV;.;.; Jngingkl hkg jn jnjnrdbklokg jnrdbklokg palk pnl`kikd snt gaj`ar gaj`ar hkg a`mno hklkj on onbdhupkg bdhupkg sn`ngkr, hkg sntnrusgyk jnj`ukt rujuskg tngtkgi palk. XV0 Jnjpkjnrokg onekbkjkg tngtkgi palk hkg mumuokg.

;. Vkhkgokg palk `kid gaj`ar `nrdout.  

0, 5, ;2, >8 …

Jngkj`kb 5 onpkhk gaj`ar sn`nlujgyk.

2;, 09, 4, 3,…

Jngalko ;6 hkrdpkhk gaj`ar sn`nlujgyk. sn`nlujgyk.

-;6, -8, 0, 2, 2, …

Jnghkrk` gaj`ar sn`nlujgyk hngikg 3.

;9, 9, -3, -;3, …

Jnj`kbkid gaj`ar sn`nlujgyk hngikg 3.

-0.3, -0.5, -0.4, -3.0,…

Jngkj`kb

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0. Gyktkokg palk `kid urutkg `nrdout. k >, ;0, ;4, 05, …

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 onpkhk gaj`ar sn`nlujgyk.

Jngalko 6.3 hkrdpkhk gaj`ar sn`nlujgyk. sn`nlujgyk.

 

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Snid Xdik Vksckl 3. Lngiokpokg Snid Xdik Vksckl hd hd `kwkb.

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3

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8. Vkhkgokg snt gaj`ar `nrdout `nrdout hngikg palk hkg mngds ssnt nt gaj`ar ykgi `ntul.

Gaj`ar ykgi hko `alnb hd`kbkid tnpkt hngikg 0.

Gaj`ar ykgi `alnb hd`kbkid tnpkt hngikg 0.

 

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>. Hd`nrd urutkg gaj`ar gaj`ar 9,;0, ;9, 00, 09, …, 59. Ongkl pks hkg pkhkgokg palk `kid urutkg gaj`ar. Gaj`ar ikgmdl hdpnralnb hngikg jngkj`kb ;6

;0, 00, 30, 80, >0, 50

Gaj`ar ikgmdl

onpkhk gaj`ar sn`nlujgyk.

Gaj`ar ingkp hdpnralnb 9, ;9, 09, 39, 89, >9, 59

Gaj`ar ingkp

hngikg jngkj`kb ;6 onpkhk gaj`ar sn`nlujgyk.

5. @kid urutkg gaj`ar 02, 39, 85, >>, … , ;8>, ;8>, ongkl pks hkg gyktkok gyktkokg g palk gaj`ar `kid gaj`ar Valk gaj`ar

Gyktkokg

(d) ikgmdl

(dd) ingkp

9. Lngiokpokg rkmkb hd `kwkb.

2. Lngiokpokg Gaj`ar Ed`agkccd hd `kwkb. k 6, ;, ;, , ,

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, ;.0 Mumuokg

;.3 Valk hkg Mumuokg

 

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HSOV

SV;.0.; Jngnrkgiokg jkosuh mumuokg XV; Jnjpkjnrokg onekbkjkg ksks tngtkgi mumuokg.

;. Xngtuokg skjk khk snkp ykgi ykgi `nrdout jnrupkokg jnrupkokg mumuokg ktku `uokg. @ulktokg mkwkpkg ykgi `ntul. Mumuokg k Tk

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HSOV

SV;.0.; Jngnrkgiokg jkosuh mumuokg XV0 Jnjpkjnrokg onekbkjkg tngtkgi palk hkg mumuokg.

;. Xnrkgiokg skjk khk snkp snkp ykgi `nrdout dklkb mumuokg k ktku tku `uokg. Valk

Mumuokg

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SV;.0.0 Jngingkl pks hkg jnjn jnjnrdbklokg rdbklokg palk suktu mumuokkg, hkg sntnrusgyk jnlng jnlngiokpokg iokpokg hkg

 

9

  XV3

jnlkgmutokg mumuokg tnrsn`ut. Jngikpldoksdokg onekbkjkg tngtkgi palk hkg mumuokg ugtuo jnlkoskgkokg tuikskg juhkb.

;. Ongkl pks hkg pnrdbklokg palk `kid snkp mumuokg `nrdout. Sntnrusgyk, lngiokpokg lngiokpokg mumuokg `nrdout. `nrdout.

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33 33,, 34, 34, 8>, 8>, >;, >;, Q QQQ QQQQ QQQQ QQQQ QQ,, QQQ QQQQQ QQQQ QQQ Q , QQQ QQQQQ QQQQ QQQQ QQ Valk=

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QQQ QQQQQQ QQQQQQ QQQ,, >;0, 0>5, QQQQQQ QQQQQQQQQ QQQQ Q , 58, 30, QQQ QQQQQQ QQQQQ QQQQQ QQQ Valk=

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Valk= Xkj`kb QQQQQQQ `ktkgi jkgcds ugtuo jnjpnralnb jnjpnralnb snkp tkj` tkj`kbkg kbkg QQQQQQQQQQQQQQQQQQQQ QQQQQQQQQQQQQQQQQQQQ   ykgi `nrdoutgyk. 0. Lngiokpokg mumuokg `nrdout `nrhkskrokg `nrhkskrokg palk ykgi hdgyktkokg. hdgyktkokg. k

Jngalko 8 hkrdpkhk gaj`ar sn`nlujgyk.

45, 45, QQQQQ Q, QQQQQ, QQQQQQ, QQQQQQ, QQQQQQ

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Jnghkrk` ga gaj`ar ssn n`nlujgyk hngikg 3.

9, QQQQ Q, QQQQQ, Q QQ QQQQQ, Q QQ QQQQQ, Q QQ QQQQQ

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Jngiu Jngiurk rkgi giok okg g 2 hkrdp hkrdpkh khk k ga gaj` j`ar ar sn sn`n `nlu lujg jgyk yk..

0;, 3 3,, QQ QQQQ QQ Q, Q, QQQQ QQQQQ, Q, QQQ QQQQQ QQQ, Q, QQQ QQQQQ QQQ, Q, QQQ QQQQQ QQQ Q

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Jnj`kb j`kbki kidd g gaj aj` `ar sn`nl n`nluj ujgy gyk k hn hngi gikg kg >.

866, 866, QQQ QQQ Q Q, Q, QQ QQQQ QQQ Q, QQQ QQQQ QQQ QQ,, QQQ QQQQQ QQQ, Q, QQ QQQQ QQQ QQ

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Jngk gkj` j`kb kb 9 onpkh npkhk k gaj aj`a `arr sn`n sn`nlu lujg jgy yk.

80, 80, QQ QQQ QQ Q, QQQ QQQ QQ, QQQQ QQQ QQ, QQQ QQQ QQQ, QQ, QQQ QQQ QQQ

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Jnj`kb j`kbki kidd gaj` gaj`ar ar sn`nl n`nluj ujgy gyk k hn hngi gikg kg 0.

45, 45, QQ QQQ QQ Q, QQQ QQQ QQ, QQQQQ QQQQ, QQQ QQQ QQQ, QQ, QQQ QQQ QQQ

3. Lngiokpokg mumuokg mumuokg gaj`ar `nrdout.

 

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9, ;3, QQQQQQQQQQQ, 0>, QQQQQQQQQQQQ, QQQQQQQQQQQQQQ

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22, QQQQQQQQQQQ, 58, >0, QQQQQQQQQQQQQ, QQQQQQQQQQQQQQ

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38, 02, QQQQQQQQQQQ, ;5, QQQQQQQQQQQQQ, QQQQQQQQQQQQQQ, …

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@k` ;

HSOV

;.0 Mumuokg

;.; Valk

VALK HKG M^M^OKG

;.3 Valk hkg Mumuokg

SV;.3.; Jnj`ukt ingnr ingnrkldsksd kldsksd tngtkgi palk suktumumuokg jngiiugkokg gaj`ar, pnrok pnroktkkg tkkg hkg ugiokpkg klin`rk. XV3 Jngikpldoksdokg onekbkjkg tngtkgi palk hkg mumuokg ugtuo jnlkoskgkokg tuikskg juhkb.

;. Gyktkokg palk `kid mumuokg hngikg hngikg jngiiugkokg gaj`ar, pnroktkkg pnroktkkg hkg ugiokpkg klin`rk. k

In Ingn gnrrklds kldsks ksdd tngt tngtkg kgi i palk   Gaj`ar

  8 , QQQQQ , QQQQQ , QQQQQ , …

Vnroktkkg Xkj`kb QQQQQ `ktkgi jkgcds ugt ugtuo uo jnjpnralnb sn snkp kp tkj`kbkg  QQQQQQQQQQQQQQQQQQQQ  QQQQQQQQQQ QQQQQQQQQQQQQQQ QQQQQ ykgi `nrdoutgyk. `nrdoutgyk.

^giokpkg klin`rk

Onhuhuokg =  

g : ;, 0, 3, 8, … , g  QQQ : 3, 5, 4, ;0, … , QQQQQQ QQQQQQ

sn`utkg = QQQQQ : 8, 9, ;6, ;3, …, QQQQQQQ jkok, ugiokpkg klin`rk dklkb  

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QQQQQQQQQQQQQ QQQQQQQQQQQQQ hngikg onkhkkg g : ;,0, 3, 8, …

In Ingn gnrk rkld ldsk sksd sd tn tngt gtkg kgi i palk Gaj`ar

Vnroktkkg

^giokpkg klin`rk

;, 4, ;9, 0>, 33

 

;6

0. Xngtuokg palk mumuokg mumuokg gaj`ar jngiiugkokg jngiiugkokg pnroktkkg. k

8, 8,; ;0, 35 35, ;6 ;62, 308 308,, …

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0>5, 0>5, ;02, ;02, 58, 58, 3 30, 0, ;5 ;5,, …

3. Xngtuokg palk mumuokg gaj`ar gaj`ar hd `kwkb jngiiugkokg ugiokpkg ugiokpkg klin`rk. k

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3, 5, 4, ;0, …

HSOV

>, 2, ;;, ;8, …

SV;.3.0 Jngngtuokg sn`utkg tnrtngtu tnrtngtu `kid suktu mumuokg. mumuokg. XV3

Jngikpldoksdokg onekbkjkg tngtkgi palk hkg mumuokg ugtuo jnlkoskgkokg tuikskg juhkb.

Xg : sn`utkg on-g ;. Bdtugiokg sn`utkg on-lkpkg hkg on-sn`nlks `kid mumuokg mumuokg hd `kwkb.

X2 k

0, ;6, ;2, …

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8, >

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-3.9, -8.3, -8.4, …

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0. Bdtugiokg sn`utkg sn`utkg on->6 `kid mumuokg mumuokg hd `kwkb.

X>6 k

>, ;>, 0>, 3>, …

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45, 40, 22, 28, …

 

;;

HSOV

SV;.3.3 Jngynlnskdokg jksklkb ykgi jnld`ktokg jnld`ktokg mumuokg. XV8 XV>

Jngikpldoksdokg pngintkbukg hkg onjkbdrkg ykgi snsukd tngtkgi palk hkg mumuokg hklkj oagtnos pngynlnskdkg jksklkb rug ykgi juhkb. Jngikpldoksddokg pngintkbukg hkg onjkbdrkg ykgi snsukd tngtkgi palk hkg mumuokg hklkj oagtnos pngynlnskdkg jksklkb rug ykgi oajplnos.

; 00 + (0 + 0 + ;) : 3 0

(k) Gyktkokg huk sn`utkg sntnrusgyk.

30 + (3 + 3 + ;) : 8 0 80 + (8 + 8 + ;) : > 0 >0 + (> + > + ;) : 5 0

QQQQQQQQQQQQQQQQQQQQ QQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ QQQQQQQQQQQ Q  QQQQQQQQQQQQQQQQQQQQ  QQQQQQQQQQ QQQQQQQQQQQQQQQQQQQQQ QQQQQQQQQQQ

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(`) Gyktkokg sn`utkg on-g. QQQQQQQQQQQQQQQQQQQQ QQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ QQQQQQQQQQQQ QQ   Vdl Vdldb db ugiokp ugiokpkg kg klin`r klin`rk k ykgi ykgi jnwk jnwkodl odldd palk `kid `kid mumuok mumuokg g `nro `nrong ngkkg kkg..

3

Njp Njpkt kt sn`ut sn`utkg kg pnrtk pnrtkjk jk `kid `kid su suktu ktu mmumu umuokg okg dklk dklkb b ;;, xx,, ->, -;3 -;3,, … (k) Bdtugi gdlkd x. (`) Gyktkokg sn sn`utkg `utkg on-;6, on-;6, X;6.

8

Mkhu Mkhukl kl hd ` `kwkb kwkb jngug jngugmuook muookg g mkhukl mkhukl pnr pnrmklkg mklkgkg kg ldjk ldjk `ukb `ks hkrd hkrd Ouklk Ouklk Lujpur Lujpur on Vulku Vdgkgi. Vdgkgi. @ks K @ C H N

Jksk @nrtalko 2.66 pkid 2.36 pkid 4.66 pkid

@nrhkskrokg mkhukl hd ktks, mkwk` saklkg ykgi `nrdout.

8

(k) Bdtugi snlkgi jksk `nrtalko kgtkrk huk `ukb `ks.

QQQQQQQQQQQQQQQQQQQQQ QQQQQQQQQQQQQQQQQQQQQQQQQQQQ QQQQQQQ

(`) Vkhk puoul `nrkpkokb `ks N kokg `nrtalko1

QQQQQQQQQ QQQQQQQQQQQQQQQQQQQQ QQQQQQQQQQQQQQQQQQQ QQQQQQQQ

(c) Vkhk puoul `nrkpkokb `ks N kokg skjpkd hd Vulku Vdgkgi  mdok pnrmklkgkg jngikj`dl jksk jksk snlkjk > mkj1 QQQQQQQQQQQQQQQQQQQQQQQ QQQQQQQQQQQQQQQQQQQQQQQQQQQQ QQQQQ   Pkdyk Pkdykg g tnlkb pnrid pnrid on oldgdo u ugtuo gtuo `n `nrmujp rmujpk k hngikg hngikg haota haotarr onrkgk onrkgk hnjkg snlnsnjk snlnsnjk ykgi ykgi `nrlkgmu `nrlkgmutkg tkg jnln`dbd ik bkrd. Haotar tnlkb jnj`nrdokg ik mngds u`kt, dkdtu u`kt hnj hnjkj, kj, kg`dao hkg u`kt snlnsnjk. @kgtu Pkdykg ugtuo jnj`ukt mkhukl pnjkokgkg pnjkokgkg u`kt mdok hdk `nrjulk jkokg u`kt pkhk puoul 2=36 pkid. u`kt ; 0 3 ^`kt hnjkj : 0 `dmd 3 okld snbkrd Kg`dao : ; `dmd 0 okld snbkrd Hnjkj Kg`dao Snlnsnjk

^`kt snlnsnjk : ; `dmd ; okld snbkrd

 

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