l Problemas propuestos 1 2 ••• n 3 ••• n+1 k k+1 ••• n+k-1

!"$#%!& '""' (*),++-/.01.2 354687:9-;=<?>A@CBEDF689HG:IJ-68KL;=@ M NPRQTS U/VXWFY[Z]\_^`PaS,bRcedfPaZW O gThji klnmoqpnl-rjtRs uvtfwt myxvi t kl{z|,}H~,nqHjeqTqH tf mk ,]tf klh t{ k tf s ki qq q k hga h t i tf i r i t mri h hh t ¡ q i qq¢v mk hjl£¡l-rk ¤n¥,¦ { m i w l H§atfqtf¨ t q ©ª«¬nª®-¯ °±³²f«²f¬nª¬-´ ²µnª«¬H² ²T°«*¶²[«°··´¸ª ¹º«ª¹R²»e¼-°¯ ¯ ª«»e¼-°¬-¼-°µ-²f¹ «°²f®jªfµ-²µnª«¬jªf¼-¹R°«*¶¼Hµn´ ²f¹e¶°aµn°±³² ¶°±O ¸² ¶´ ·²T¹-ª¾½f²µn¼H²µnª$«´ ¹R·ª¹-ªe·´ ¿ ±´ °¹e¶ª«/°«¬j°·´ ²f¯ ´ À²µnª«ÁeÂª®-¯ °±³²f«²f®-´ °¶ª«·ª¹-ªe·´ µnª«¹-ªT«ª¹R²f·°¬n¶²f®-¯ °«Á Ã °¬n°ÄH°°¹O¬nª®-¯ °±³²f«ªf´ ½´ ¹H²f¯ °«°]´ ¹e¶°°«²f¹e¶°«Áa©²f«³«ª¯ ¼-·´ ª¹-°«³ÅÆ¯ ª« ¬nª®-¯ °±³²f«¡¬nª¬-¼-°«*¶ª«¡µn°®j°¹`µn´ ´ ½´ «°Ç²f¯j°µn´ ¶ªfÈ,°¹`°«¬H²-¹-É ª¯qªv´ ¹-½¯¸° «È-²v¯ ² µn´ °··´¸ª ¹R² ´ ®H²[´ ¹Hµn´ ·²µ-²,ÁfÊ/²f±R®-´¸° ¹Ç¬-¼-°µn°¹Ç°¹,Ë,´ ² «°%¬jªf/·ªf°ªT°¯ °·¶H¸ª ¹-´ ¿ ·ªnÈ¬n°Ì °´ ®-¯ °±°¹e¶°³·ª±ª¼-¹=² ·Í-´ Ëª]Ì ¼-°¹e¶°³°¹=© ÎÊnÏ-ÐyÁ©²f«y¬nª¬-¼-°«*¶²f« µn°®j°¹`²f·ª±¬H²-¹HÉ ² «°$µn°T¯ ²Ç«ª¯ ¼-·´¸ª ¹Ènªy²f¯H±°¹-ª«¡µn°[´ ¹nÌ ªf±³²f·´¸ª ¹`«¼nÄH·´ °¹e¶° »e¼-°$ÍH²f½²R²fÀª¹H²f®-¯ °v¬j°¹-«² ¾»e¼-°¾¼-¹H²R«ª¯ ¼-·´¸ª ¹¬-¼-°µn°$«°TÍH²f¯ ¯ ²µ-²,Á ÑaÒ-ÒjÓÔÒjÓÕ Öe×*Ø%ÒjÓÔnÙfÚ ØÛÜÝÞÔ Ó¾×àß-Õ Ü¡ÜØá ×àÕ Ô â]Ö ÓØ$×àßjÔ ÜØ$ãß-Õ áß³Û`ÖäÙnØ¾×Öáånæ Ú ØçFÙäéèâqç-ØÓ*êÓÖçjèeÖe×*Ø]Û`Öe×àßëÜ×è,ç-Øâj×àÜãÕÞ×àßjÔ,èn×ÜÒØáÕ Ö Ú Õ ìfØçëå,âjÔãÚ ØçênØ í î âjÔãâÔÒØâ`ÒjÓÔnÙfÚ ØÛÜ¾Ö ÓØ$âjÔe×%ÜèÕÞ×ÖnÙfÚ Ø íÇï¡ÓÕ êÕ âjÖ ÚÖ âqç³Õ âj×*ØÓØÜ×àÕ ânêºÒjÓÔnÙæ Ú ØÛÜ$Ö ÓØTÒjÓØÝàØÓÓØçjí[ðÓÔnÙfÚ ØÛ:ÒjÓÔÒ/Ô ÜÖ Ú ÜvÖ âqç`ÜÔ Úàèn×àÕ Ô â-Ü¾ÜßjÔ,èÚ çñÙnØ$ÜØâj×T×Ô ×àßqØØçeÕÞ×Ô ÓòaÕ âAóÒÖ â-Õ ÜßOÔ ÓôânêÚ Õ ÜßqòÇ×Ô×àßqØ³Öç-çeÓØÜÜºêÕÞõØâAÖnÙ,ÔõØ í8ößqØä Û`Öä]Ö Ú ÜÔ`ÙnØaÜØâj×aÙäØæÞÛ`Ö Õ Ú òeÒjÓØÝàØÓÖnÙfÚ ä÷Ö Ü[Övø ùö ô-ú ÜÔ,èÓáØ[û-Ú Ø íðÓÔÒ/Ô ÜÖ Ú Ü ÜßjÔ,èÚ ç{ÙnØRÖááÔ ÛRÒÖ â-Õ Øç=Ùä=Ö³ÜÔ Úàèn×àÕ Ô â{Ô ÓòÖe×[Ú ØÖ Ü×*ò¡ØâjÔ,èfêßÕ â-ÝÞÔ ÓÛ`Öe×àÕ Ô â Ô âñãßä÷ÖyÜÔ Úàèn×àÕ Ô âÕ Ü[Ú Õ ånØÚ ä-í ül-r ml w tf rTý- t r ty ml l qtf l ki isl lnmm t r l h tf÷ i t /r t mi lnm h t `t hji isl ¥,þnþ-¥³h t ÿ i ] s h ln i mi , h t{ k tf s ki r gTrk l ]t k tf i r t m t i ¨] lnmR lnmm t r l h tf i qqtf hjl-ryhs ry l r t jki nl-r /¾ h hs l-r mki i , k t r$hji r l qtf h t km t rqlnm r ]t hji ] m m t rln t m¾km t r ml w tf r ! ¤n¤ #"Ht,%$ %& ft k t ml-r l-ri ki nl-r[hji rki kl-r '"Ht l ri h t m ÷ mm t)( lºm t k ,*( mRh t &+ $a h t` ljhjlý- t³tf l-ri isl h t k t m i h lnmy , .- ñ ln ]/ r t¾ft tf km Çt s ]t ml -)01/ 2%3n k j l R l r t t¾ l ki isl o 4)4)4 3 ¥ $ ¥ 5 4)4)4 $.063 &7& 063 4)4)4 $.0 & 283 ¦ pnl-rjtRs u³ xvi t kl{z t h "Ht ¤,¦ ¤%$ ¤ ¤+Z r h t l-r t tf]tf kl-rñh t mm t)( l "Ht r ,wt ý- t t rñ l ,k ft i ]tf k t m h t s ]t ml mi l z ñ tf l-rkm mÇý- t rnsl l t ji rk t l-ri w t lnmvh t s ]t ml mi l z w ñ t k t m i m l h tf l-rkm isl kljhjl-r¾ l-r l-ri w t rT lnm t r¾h t $ & #"Ht hjm hjlë l tf kml tfFt kl #"HtCt kl k [ý- t t rº hjm hjl {r t, l-r kl-r ]t hji l-rºh t l-r r )t (n]tf kl-r ÷ m t r t ki ,]tf k tn "Ht i m àt m tf i ý- t¾ r lnm t ÷ i m àt m tf i ý- t ki tfqt tf kml m hji l÷i ( i m àt m tf i l hji,s ]t kml tf l-rkm m`ý- t rkm t r i m àt m tf i r "!# ki tfqtf kl tf l s #"Ht ki tfqt i rk '& )z ( "* ( +* ( ,*.-.-.-/* ( 0 Th t ¥ 3v s ]t ml-r tf k t ml-r l-ri ki nl-r l qt t r mi ,]tf k t hji rki kl-r tf km t rs * "Ht hji t ý- t k t m 2 1 (43 * (+5 * (6.7 rt ñ 9 r i & ¥ h s r G + ( 5 D B 3n tf £¡& lnm (43 0 3 l (6 & (+ 5 080:.;=3n<?' > "H8/@At<e H z 3C Bt -Es ]D t /F ml`h tvt r t m rah t i rk ³ Jt Itf] ri K& z 3,* ¥ * 5 * ¥ 3,* ¥ 3,*.-.-.-A* ¥ 3 tf kl t rr t ki tfqt s i ,]tf k t ñt r t m 1 ( ?* ( +* ( 7 &L1 3,* ¥ * 5?7 vlns m` l=r k , kl s jH i z l & ln3nm`! h " i$r t z l Q Pñrpni h t rm k,i ý-k ljh r r r i rk r l-ri w t r ³N M t t Ot H , t m t r t rk q #"HtS R Uz T/ & (%T 0V T 0W T 0X ln i l i lys w i l * nl-r% l t , i tf k t r ( ? V W& & X rl º & s ]t %¥ ml-r&m t t 5 r k "Ht r ry,wý-t ý- t[z t &qj i rk tf z & km l tf z k & t ml-r¥n # l r t z j& ki nl-5-r 0 3n 0 0 t t R Y R 0 3 # R 0 R 0 rl s ]t ml-r tf k t ml-r tf l-rkm m$ý- tn- m ý-qi t m tf k t ml O R z t r s ]t ml tf k t ml $uy m t s ji l lnm[h t s ]t mlºm t O k ý- t r t i t mk ri ( qi tf k t , m isl o " i ( # V[ W X rl ñ s ]t ml-r tf k t ml-r l-ri ki nl-r¾k t rÇý- tn W \]X ( 0V^&CW 0X ( V_& ¥ W/X tf kl t r Wa`?Xb\O ¦nþ #"Ht kmi,s *( q lºk ý- tvt R,s *( q l é i h t ¦nþ%c '"Ht,OR bd l-r i t r³h t r t m tf hji q m t rRkm ,¨ h rºh t rh tO r w i r t kmi t rºi k t m r h t l-rë,s * ( q l-r m t r t ki ,]tf k tn hjlÆý- tGRe& 3 þ+f d & 3 þ-¤ m t t ms ]t kml]h t kmi,s *( q l !"$#%!$& '""!(*),++-.01.2 £[ml w tf r fH¥ " $ ln i l qt r ) t ÷ ml ( m t risl mi k t s ki t i i , kqt s m i l-r l w k tf i tfs ( ( ff h t m ,¨ sl H g l i , i k 3n ( ( , ff h t` s ]t ml-rvm t t ryr t hjl-r t { ml ( m t risl (nt l t s kmi i , i k 3n km m¾ l-r l-ri w t r$ lnm t r$h tH > ; @> ;"!$#&%<,;> ' <)((,8*+)8 ;)<":"#, .-?8/@=:$/(,<)(0(,8/>212> )< z|3 45,j,}n687na"5n96/ H" t V_& ( 2 3n m ,¨ sl h t Ç ml ( m t risl mi k t s ki h h q gTrk v ml ( m t risl r t t r mi wt o 3n V063n ¥ V063n 5 V063n f " l *(-, l-ryý- t³t ji rk k H gTr s i t mRý- t³tf kl t r t r qt t r mi l ý- t V\ þ \ 3n l ri h t m tf l-r¾ l-r¾kqt s m i l-rfo 3n & $ /V 063n &6$aV063n §atf l-r¡ý- t $"` $ _& z 2 3 ` z 2 3 & 3'0:H t hj i l-r¡ý- t;Çt r%m i l )t ( lk ,`w i tfs G V¾t r[m i l £¡l * (-, l-r V^&=<,`>n l <H?>y mi l-r tf km t rs "Ht ki tfqt $9> & $ z¥ > 0@< $ h t hjl h At >B < $ e t)( l >B $ > B $C>n >B $, l l &6$ /V063 & z $ a`> <063,* h t hj i l-rÇý- t ³t r tf k t ml ?D ¥ ¢ qlnm q r tE étf k t ml ; FD ¥ H G l ]tf l-r $ &I>]& 3n; <9&J.23n g kl t r h t { ml ( m t risl A mi k t s ki 3nK <H ¥ <H fff k tf i tf hjl tf tf k ý- t z 3 283 ` z 283 & 30L#0L 0 4)4)4 0E 3NM l w k tfqtf l-r &'V063 &O<063n & z V 063 & z 30L <063n & z V 063 & z 30L#0L <063n 4)4)4)4)4)4)4)4)44)4)4)4)4)4)4)4)4)4)4)44)4)4)4)4)4)4)4)44)4)4)4)4)4)4)4)44)4)4 3 & z V063 3 & z 3L 0 #L 0 0 --- L 0 3NM <063n l÷ý- º t t rkm ý- tA`t r$ lnm l-ri w tn fH¤ 1 P z¥nÇz¥,þnþnþ- 3 þ?7 ,uy Tm isl Q )o R=STR8k ý- t r ( m s , r t r w l ? I kl÷h tf rlh t R l ml w mÇý- t k isl l t j i rk tn > ; @> ;"!$#&%<,;> ' <)((,8*+)8 ;)<":"#, .-?8/@=:$/(,<)(0(,8/>212> )< z|3 45,j,}n687na"5n96/ G sl ]t r t =w r t÷ ]t m ,w t h t kl ln l ( s h t R tf t s m tf r t rr i tf`w ml-rfo , , ff§[, l-r t t)( i mº O klAzUT#3 *VU 3* tfE 3 m h - h t O,qt m ri ( qi tf k t o[g[ i I, l-r klFzUT ?*V4U tf z < !"$#%!$& '""!(*),++-.01.2 , pnl-rjtRs u³ xvi t kl{z t h £ m kljhjl.& D 3n tf¨ºt t)( i hjl-rzUT ?*VU4 tf 3n zUT ,*VU, tf U z Y T 6 6e 6 i l-rºzUTY6 6 z & h m ý- T z n& f0 3 *Vl U t rkqtfts 2tf HT t ?* IT ,+ *.-.-.-.* TY6?*Vz U r t)( qmtf,s hj l l-r 0 3 rs h t tºý- ,t³q t l% t m ki i l rh T r hjlñk m i l-r r zUT#3 3*³o % =tfo)R t STqR t t ml t f¡ isl , zUT *VU t S T q/tf m , ]ttf k t & t rÇh tf*V U rl tf -AR D 3 t r t ( m s , lh t isl o.z S R h t, i h ] lnm zUT#3* & U 3 ¢ qlnm rln ,]tf k t ý- t h t Hk tf h t m kljhj: l R l`ý- tv ljh tf l-r t m h i w i k l w k tf i tf hjl i sl j h i h Q=t q )<,;=8/@A8 f-¦ $uy ma M isl l ki AQ o 1 þ *)3 78S 1 þ *)3 7Hk ý- t$ m h T 1 þ *)3 7 t % l ?I kl Q zU/T Çr t i , i kl l ml w mÇý- t k isl l t ji rk tn > ; @ > ;"!$#&%<,;> ' <)((,8*+)8 ;)<":"#, .-?8/@=:$/(,<)(0(,8/>212> )< z|345,j,}n687na"5n96/ "Ht&F1 þ *)3 7 gTrÇ l lj i hjl]ý- t qm h t £ t, lz ÷ l kmf isl s ri h t qm h t £ t, lëh tfw i h Aëu i wt mk t m 1 3n 5 5?7 tfÆt hjm hjl i k mi l i hj i tf hjl÷ isl l ki rl w m t o S tf ü l ] l-ri isl "Ht ml t f isl , sl i Uz T *VU S TÆh t ÷t r$ tJItf] l÷h t isl t hji h q xvl,k o 2 isl o S z rl w m t t h t t mr t l ki h tf s r hji àt m tf i ,w t`tf rikljhjl kl r nl tf l ? I klh t`]t hji h t mlo t % l ? I kl÷h t¾, klnm l lr t t rkm `tf 1 3n 5 f q 3 5-¤"7 ñ l l t r hji àt m tf i ,w tnff 1 3 7 u lj Hi * (, "h ![ln * ($ # > &% ' <e gThji klnmi ) ( t t mkqtns 3 Z4$,¤ f$ $uy m G isl M l ki Q o 1 23,*)3 7 S 1 þ *)3 7ak [ý- t] m h T* 1 þ *)3 7 t / l ?I kl Q zUT/Tr t, i klk tf*(- ÷ s ]t ml m$h tyt tf]tf kl-r l ml w mÇý- t k isl ñ l t ji rk tn > ; @ > ;"!$#&%<,;> ' <)((,8*+)8 ;)<":"#, .-?8/@=:$/(,<)(0(,8/>212> )< z|345,j,}n687na"5n96/ l ri h t m tf l-r¾ r t risl h t kl-rÇh t , l z 3n þ- z 3,+ ¥ 3 z 3,+ f 3,+ ¥n z þ !3 z 3,+ ¥ 3,+ fH z 5 + f 3,+ ¥n z $ + 3,+ z 3 ¤ +'3 ¦ 3,+ fH z 5 3,+ 5-¥ 3,+'3 ¦- z ¦ 5 + ¦+f 3,+ z 3 ¥%$ +'3 ¥ 3,+ 5-¥n z¥n¤n¤ + ¥n¤,¦ 3,+'3 ¦- f gTrk r t risl h t,qt ( m s , ý- t r t l w ki tfqt i tf hjl ]t hji , k t r t)( ]tf kl-r h v m¡h tT kl-r l r t jki nl-r gTrk ( m s , i hj t _ isl l ki Q o 1 23,*)3 78S 1 þ *)3 7 H l i tf hjl Q z 3 & þ !"$#%!$& '""!(*),++-.01.2 £[ml w tf r " Z ln i l qt r gTr s i t mÇý- t ri/ t r k s tf 1 þ 3 7 j tf k l t r B Q M zUT/ %B & ¥ * f *tf m T & þ T & 3n r l] l km m i l - xvl,k oq mle t m w i l qi l t m t r -ý t jh i w I l÷hji t s rÇý- t i w m r i ( q m ` t ,w nl m h ` nl m t t hji klnmo !"$#%!$& '""!(*),++-.01.2

l Problemas propuestos 1 2 ••• n 3 ••• n+1 k k+1 ••• n+k-1

Documentos relacionados

Productos

Apoyo

l Problemas propuestos 1 2 ••• n 3 ••• n+1 k k+1 ••• n+k-1

Documentos relacionados

Añadir este documento a la recogida (s)

Añadir a este documento guardado

Sugiéranos cómo mejorar StudyLib