Forum » Šola » Aritmetično zaporedje in 30% na izpitu
Aritmetično zaporedje in 30% na izpitu
Temo vidijo: vsi
Twixz ::
Če je kak matematik ki bi povedal aritmetično zaporedje z neskočno vsoto, bi mi podal 30% na izpit. (Torej rabim 25% za opravljen izpit). Je kdo tak mojster? :D Rabim pa prvi člen pa nevem, random člene vmes, s tem da se da to neskončnost izračunat kot pri geometrijskem zaporedju :)
Yacked2 ::
Kaj sedaj hočeš od nas ?
Splošni člen aritmetičnega zaporedja An = a1 + (n-1)*d
Vsota aritmetičnega zaporedja pa je Sn = n(A1+An)/2
Če te zanima pa neskončna vsota je pa neskončo ali - neskončno odvisno a je zaporedje naraščajoče ali padajoče
Splošni člen aritmetičnega zaporedja An = a1 + (n-1)*d
Vsota aritmetičnega zaporedja pa je Sn = n(A1+An)/2
Če te zanima pa neskončna vsota je pa neskončo ali - neskončno odvisno a je zaporedje naraščajoče ali padajoče
Korak naprej ni vedno ustrezen...sploh če si na robu prepada!
technolog ::
Vsako arithmetično zaporedje ma neskončno vsoto.
(oz. nobeno, če ne seštevaš vseh členov).
(oz. nobeno, če ne seštevaš vseh členov).
Zgodovina sprememb…
- spremenil: technolog ()
Twixz ::
Ja pr geometrijskem zaporedju zračunaš neskončno vsoto z količnikom itd.
Obstaja pa eno aritmetično zaporedje, pri katerem lahko zračunaš neskončno vsoto, sam rabim pač člene tega zaporedja (številke), kot je pr geometrijskem zaporedju 1/2,1/4,1/8 - Q = 1/2, neskončna vsota = 1 :)
Obstaja pa eno aritmetično zaporedje, pri katerem lahko zračunaš neskončno vsoto, sam rabim pač člene tega zaporedja (številke), kot je pr geometrijskem zaporedju 1/2,1/4,1/8 - Q = 1/2, neskončna vsota = 1 :)
Yacked2 ::
Aritmetična vrsta divergira, zato vsota ne more biti končno število.
Korak naprej ni vedno ustrezen...sploh če si na robu prepada!
garamond ::
Obstaja eno aritmetično zaporedje, kjer lahko izračunamo neskončno vsoto (torej vsoto vseh členov) s formulo za geometrijsko zaporedje.
Pošiljam prvih 10000 številk.
(Upam, da se nisem kje zmotil.)
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A parody of extremism is impossible to differentiate from sincere extremism.
garamond ::
Bi sicer poslal neskončno ničel, ampak mi zmanjka RAMa. Tako sem poslal le prvih 10000, zaporedje pa je mišljeno seveda kot neskončno. Aha, bom naslednjič na koncu uporabil "...".
Me pa malo moti, da se Twixz ni več oglasil, da bi potrdil pravilnost odgovora :D
Me pa malo moti, da se Twixz ni več oglasil, da bi potrdil pravilnost odgovora :D
A parody of extremism is impossible to differentiate from sincere extremism.
technolog ::
Čestitam, uspelo ti je podat edini odgovor, ki je napačen.
Avtor išče aritmetično zaporedje, čigar vsota je NESKONČNA.
Avtor išče aritmetično zaporedje, čigar vsota je NESKONČNA.
gusto ::
Jaz en drek razumem, kaj bi OP sploh rad. Lahko bi JASNO napisal, kaj spoloh hočeš. Drugače je pa tehnolog prav povedal, če je to to, kar iščeš, garamond pa podal edini primer, ko neskončno členov AZ nima neskončne vsote.
Ne razumem kak izpit imaš to, da dobiš 30% za odgovor na tole vprašanje in 25% rabiš da opraviš? Lahko malo razložiš?
Ne razumem kak izpit imaš to, da dobiš 30% za odgovor na tole vprašanje in 25% rabiš da opraviš? Lahko malo razložiš?
lebdim ::
Za aritmetično zaporedje je ponavadi vedno končna vsota, ker je formula poznana in si jo lahko zapomniš. Torej formula za Sn. Basta.
Sn = (n * (a1 + an)) / 2
Sn = (n * (a1 + an)) / 2
Zgodovina sprememb…
- spremenil: lebdim ()
Yacked2 ::
Za VSAKO zaporedje je vsota končna, če vzameš samo končno mnogo členov. Da?
Pri vsakem zaporedju lahko računaš končno vsota, torej izbereš n število členov in jih sešteješ, pri tem pa dobiš konktetno število.
Če pa računaš neskončno vsoto pa ni nujno, da boš dobil kontretno število. Oziroma, kontretno število boš dobil le v primeru, da zaporedje konvengira.
Korak naprej ni vedno ustrezen...sploh če si na robu prepada!
lebdim ::
Ampak pri aritmetičnem zaporedju poznaš formulo za n členov. Zato je nesmisel računati neskončno vsoto pri AZ.
technolog ::
Ni nesmiselno. Maš dve možnosti, ali vrsta konvergira, in če, bo proti 0, ali pa divergira proti neskončno.
Nesmiselno bi bilo, če bi bila samo ena možnost.
Nesmiselno bi bilo, če bi bila samo ena možnost.
Twixz ::
Nekaj me še zanima.
Kako izračunaš absolutno vrednost določenega števila oz. kombinacije naprimer |x + 3|? Če je x večje od -3 je pozitivno, če je x manjše od -3 je negativno al kko?
Kako izračunaš absolutno vrednost določenega števila oz. kombinacije naprimer |x + 3|? Če je x večje od -3 je pozitivno, če je x manjše od -3 je negativno al kko?
Yacked2 ::
Nekaj me še zanima.
Kako izračunaš absolutno vrednost določenega števila oz. kombinacije naprimer |x + 3|? Če je x večje od -3 je pozitivno, če je x manjše od -3 je negativno al kko?
določi se "kritična točka", v tvojem primeru
f(x) = |x+3| je kritična točka x+3 = 0, x = -3 če je x manjšji od -3, absolutna vrednost obrne predznake in f(x) = -(x+3), drugače pa pustiš tako kot je.
Korak naprej ni vedno ustrezen...sploh če si na robu prepada!
lebdim ::
torej je f(x) = {x + 3; če je x >= -3
in -x - 3; če x < -3
če bi te zanimalo za npr. x = 5, bi razmišljal takole:
- ker je 5 > -3, lahko absolutno vrednost izpustiš, ker je vrednost v absolutni vrednosti pozitivna in bo f(5) = 3 + 5 = 8.
če bi te pa zanimalo za npr. x = -5, pa bi razmišljal:
- ker je -5 < -3, je absolutna vrednost negativna po predznaku, zato f(-5) = -(-5 + 3) = 5 - 3 = 2.
in -x - 3; če x < -3
če bi te zanimalo za npr. x = 5, bi razmišljal takole:
- ker je 5 > -3, lahko absolutno vrednost izpustiš, ker je vrednost v absolutni vrednosti pozitivna in bo f(5) = 3 + 5 = 8.
če bi te pa zanimalo za npr. x = -5, pa bi razmišljal:
- ker je -5 < -3, je absolutna vrednost negativna po predznaku, zato f(-5) = -(-5 + 3) = 5 - 3 = 2.
Zgodovina sprememb…
- spremenil: lebdim ()
lebdim ::
v vsakem učbeniku dobiš tole definicijo za absolutno vrednost:
|a| = {a; če a >=0 in -a; če a < 0}.
|a| = {a; če a >=0 in -a; če a < 0}.
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