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Infinite Series - INFINHE SERIES LET'S emu n smueruce isms...

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Unformatted text preview: INFINHE SERIES LET'S emu) n smueruce isms, , s“ j m we Fouwuoc way : So = l 5‘ : I4 i 31 = 1+ ‘2: * f: .L 53 = H ‘2' " "‘1' " 8 E 3 0 5.. = mutt-)3 m“ Li) M m ‘0' suns oF noes mvo r1026 Paws“ 0F 3‘; . ave-snow : Does 11:: seooence commence .? m1 :5, as we aoo wasn't-w nake- am nape Powers or: 3" , Do WE sons " HPPIIMJCH ' nmvmmc ! m5 fimswEk womb CERTHINLY BE " no" IF we REPLficED ms i mm A 1 SINCE DIE :EévENcE wouw cmmuy BLow up (125., --*°° ). HowEvER, can st-‘éusmcs ficwnuy DOES Camvskce BecausE :. If :s wcmsnsws c 5,,“ = s" + nPosmvE MDHBER ) . .2, Boomoso Fun 88006 3)! J. ( come; now» we L151 F800 0105' TE)?” 1? ”IE NEXT, (OE fiLkJfiYS I900 JUST I‘MLF or cor/a7 :7 wow!) mare Tb GET me Sufi UP To .1 ). THIS SHOULD BE )9 LITTLE SURPRIEMVG ( 0001106 DOPE 0ND ”DRE P0317705 masses, MT 77/: Suns Do my BLow up ). 801 «mm 0055 i 5,, $0. 32 J... } Cowvelras ‘m :’ usvnuy Amswemma QUESTIONS LIKE Tm: :5 Wk)! WED, aw FOR 7111: one THERE Is A Tmcx WT Pumps: WE alums/a : TEnPoanLy can. we umr AF is” } as n a °° Jon S. S: Inn Sn n-flv new name mm 2. 3m a la {w (1-) +-~+ at. 0 H 2‘ 3., = 4: 4 Lib-«4 LtJ'U Lt)" SuBmscr THESE Two 77’ 557' u so-isn = l—(if . _ .L"*’ 51-3" - I (a. 'H sn=a(I-cé>')-.z-5.’; mos, 5: Inn 3,, = [m (J~;l5)=.z n-NO ne‘- comcwswrv : :95 You ADD WGEDIER DOPE 19M) noes Power; or 3(- csmrmus tom; ci‘)’ 2 1115 Sun; GET ems]? nun CLOIER 71> 4. LET'S (ORITE THIS OUT : [In S'fl = 4 mean Im (H 4; b.4111") = ,1 ma» Now «:6 INTRODOCE l9 SHORTIMND ”OTBTMIO F01? WIS : th)“ =4 of? Sons 1705 S PLEASE UNDERSmND mm NEITHER 0F mEsE L057 Taco IS 959“)! a sun c 700 cam“! 800 UP INFINITELY flnmy 10008535, P631603 ) Tlif)’ ME SHORTMNDS Pole LmIT STDTEnEmS , fl SYflBOL LIVE «,4 q. + at + 15 661450 ma wnmre 862135 c on JUST SERIES), .17 was a coRPL-‘srowoms SEQUENCE 9f P037731. 8005 a Soafio 5': Roi“, $1 = q°+a.+a,_ : I 30: q°+a.+qt+"‘+qn 0.. JF ms ssauswcs (5,, 5 or MET/9!. Suns CONVERGES 17> Sons 1759:. NUDBER S , m5» m5 $617155 IS smo 17> COMMERCE To 5‘ mm S IS MLLED 7715 Sun 35 25' SEE/55' , IN 17m MSE 405‘ wkITE [“18 A : 4‘ S a°+a,+at+~-- = 3, .17" mi SEQUENCE or: PalmaL Sun: was 1007 corovERsE, WEN wE say WT THE SERIES 011252655, FXfiflI’LES: °° Q I. THE sans aficuaElur awe» FOR 2: (31') .- .2 be PRovEs mar 1F 17/5» °° 4* - .1... Z: t‘ ' :- 1" Am: , m FflcT ) c GEonETRIc semes) Inn—1+ 4. Z N)" “=0 SEQUENCE or PfiRTIaL Suns I5 D WERGES BECHDSE ITS So = I S. g "" =0 32.: |~I+I .-.-.I S3 = l- I H -I = a mo ms SEQUENCE { u, a, v, o. } memes, NOTE : THIS Is DIE GEonEmIc SERIES (4:! ) amen: I‘ = -I. IN FIICT, ‘I'IIE GEorIERIc SBRIEC 01080659 ”HENEVER 3 E 335"“ -.- Z345 5'3: “:0 Au: ° 4 = EH?) - .25 ['5’] 0R r’l'_ 2353”?) =0 5- 5‘ I 3- : ’3' - 5 5 '1. “Z: 2% 235”“; :u i=1 NOTE mm 135 was)! fl 5mm? 07 I “nus 170:. we know mm a 4‘ 5 31.-.» 25(H) : :‘r": .3- v.5- 4:, ‘I ‘l a ‘05.; )4 _ 32 5U ) +ZZ‘ - 3 Ha) ha °° «Q .r [J‘s-(é) = 1-2-5= ‘3' an $0 an 5.. 5 2.1: 3 *3 ‘i NOTE : THE LINE WITH TIIE (4!) 198005 1; Mummy a LITTLE SLOPPX way .’ mm How on you .10an IT ,7 5. THE Foknow FOR THE sun 0F .9 GEonETmc SERIES a)» BE USED TD wmrs Renown 10008539 swam as DECIDHLS Lac 0.78478H98vm ) as aoonENTS or mrsams. 0.79‘1'78‘1‘78'Iu- = 0.78"! + 0.00078‘1 + 0.000000%?! 4- «- 0.784“) + 0.79;; no") 4 awn/(16°) +~~ = 0.994(75)‘, 4 enact.) +o.vw(;j3) 4... GEonETRIc SERIES GEE n 9006 EXCEPTION TD 9 GENEPHL RULE : one» IT IS «:07 $0 mafia TD sumo Mr A SERIES mthWa‘Es‘, BUT FINDING ow «war :7 camvsucss 10 Is EXWEHELY DIFFIcuLT . THERE Is BBSIanLy va‘r ONE 0025 EXCEPWDN 1b 77m RULE .- TELESCOPmG SERIES : N .1. . .L , 00:95:05)? we $522153 2: £4 a" . «:6 u. ”me our “=0 ITS SEQUENCE OF PflRTML SUNS : 3': +‘a Nance an cnwcsumc or Eur-“Ry omen 1530, 77:»? Menu Sons camps: ( " TELEscoPE " J To 6:06 m ( J. _ J... = I,” = ' a2; * a”) 0-?" Sn nmomER EXflflPLE -‘ 2: 13:35”. A = o M FIRST rm: Dassw'T Look at nu. RIGHT 0m: J05"! wkmmc 007' THE P097731. Suns nossw-‘r LEBD 1b a~y TELESCOPINC. Hawsvm; I _ ' _ A 1’ B 45344.: (EtnMQ-n: (in in c Pan-m. Puma»: ) I = Adm.) 1! even) “and ' l = 9 &: ~2. ‘ = '- B ’ .1... ,1.— “ufin. It“ 4+2. 59 °° ‘ - E: (.1. .J. ) Z: 4533,}; An «RN. J’tz‘o =° Mow wmrE 007 THE mmm. Suns : IO. U) II ~l~ ! :0 -l- ‘ V *- t‘" "I. I 1.. \l (A II n ~i~ Q I an. was, Q ' l s I (I J- l : m 3 m - «Z: 453-6“. n-aaa " Ira-96° rm. :9 ~ mars anocnuy mE END OF WIE easy ExanPLEs. Fox a «Mini new we toILL CONCSNTRfiTE am Jun 050ch wIIEanE 02 ~07 8 $6913 cocwERaE: Am: m7 moiety 30 may Moor wfifiT If Comsnsss To , 5.6., IT mu. soon BE owns 649:)! 7D 5000 Q 17m 5' j: comnsss, 8m :1 was A cum use). 0F 5:! f. 1r wank 1» Hum win" '7' comvtkms To C ‘2' 19670314.)! ) . ...
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