Elikkä jos on tämmöinen tehtävänanto niin mitenkä ja millälailla ton sais tehtyä mahdollisimman yksinkertaisesti ja helpoiten?
Geometrinen jono voi olla vaikka seuraavanlainen:
1, 2, 4, 8, 16, 32, ... eli jonon seuraava termi saadaan kertomalla edellinen kahdella. Tee Excel-taulukko, johon tulee kyseisen jonon 200 ensimmäistä termia. Laske lisäksi näiden summa johonkin soluun.
apua ms excelin käyttöön
ei osaa..
7
685
Vastaukset
- nyt huijaa
eli ihan mahdotonta.
Tuollainen sarja kasvaa niin nopeasti että jo
muutaman kymmenen termin jälkeen mitkään
maailmankaikeuden numeromäärät eivät riitä.
Eivät Excelissäkään.- shakkipelin
keksimisestä. Siinä ei laskettu kuin 64 ensimmäistä.
Ihastuneena shakkipelistä, niin kerrotaan, Intian muinainen hallitsija kehotti pelin keksijää itse ehdottamaan palkkionsa. Tämä pyysi muutamia vehnänjyviä, yhden jyvän pelilaudan ensimmäisestä ruudusta, kaksi toisesta, neljä kolmannesta, kahdeksan neljännestä ja niin edespäin aina kaksinkertaisen määrän seuraavasta ruudusta pelilaudan viimeiseen eli kuudenteenkymmenenteenneljänteen ruutuun saakka. Hallitsija ilomielin lupasi täyttää näin kohtuullisen pyynnön. Mutta kun ryhdyttiin laskemaan, paljonko vehnää pyynnön täyttämiseksi tarvittiin, havaittiin, että kaikki maailman pellot eivät vuosisatojenkaan kuluessa kykenisi tuottamaan sellaista määrää. Se oli viljavuori, jota ei tämä kansa ole nähnyt eikä tule koskaan näkemään. Yli 1000 kuutiokilometriä.
Mitenkähän tuon 200 kanssa kävisi? - paavali50
Kirjoitin soluun A1 1
ja soluun A2 kaava =A1*2
vedin sen soluun A200 asti.
Kyllä näyttäis Excelissä numeroita riittävän
1
2
4
8
16
32
64
128
256
512
1024
2048
4096
8192
16384
32768
65536
131072
262144
524288
1048576
2097152
4194304
8388608
16777216
33554432
67108864
134217728
268435456
536870912
1073741824
2147483648
4294967296
8589934592
17179869184
34359738368
68719476736
137438953472
274877906944
549755813888
1099511627776
2199023255552
4398046511104
8796093022208
17592186044416
35184372088832
70368744177664
140737488355328
281474976710656
562949953421312
1125899906842620
2251799813685250
4503599627370500
9007199254740990
18014398509482000
36028797018964000
72057594037927900
144115188075856000
288230376151712000
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1152921504606850000
2305843009213690000
4611686018427390000
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91343852333181400000000000000000000000000000000
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23384026197294400000000000000000000000000000000000
46768052394588900000000000000000000000000000000000
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23945242826029500000000000000000000000000000000000000
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1532495540865890000000000000000000000000000000000000000
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6129982163463560000000000000000000000000000000000000000
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196159429230834000000000000000000000000000000000000000000
392318858461668000000000000000000000000000000000000000000
784637716923335000000000000000000000000000000000000000000
1569275433846670000000000000000000000000000000000000000000
3138550867693340000000000000000000000000000000000000000000
6277101735386680000000000000000000000000000000000000000000
12554203470773400000000000000000000000000000000000000000000
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50216813883093400000000000000000000000000000000000000000000
100433627766187000000000000000000000000000000000000000000000
200867255532374000000000000000000000000000000000000000000000
401734511064748000000000000000000000000000000000000000000000
803469022129495000000000000000000000000000000000000000000000 - riitä ecxelin
paavali50 kirjoitti:
Kirjoitin soluun A1 1
ja soluun A2 kaava =A1*2
vedin sen soluun A200 asti.
Kyllä näyttäis Excelissä numeroita riittävän
1
2
4
8
16
32
64
128
256
512
1024
2048
4096
8192
16384
32768
65536
131072
262144
524288
1048576
2097152
4194304
8388608
16777216
33554432
67108864
134217728
268435456
536870912
1073741824
2147483648
4294967296
8589934592
17179869184
34359738368
68719476736
137438953472
274877906944
549755813888
1099511627776
2199023255552
4398046511104
8796093022208
17592186044416
35184372088832
70368744177664
140737488355328
281474976710656
562949953421312
1125899906842620
2251799813685250
4503599627370500
9007199254740990
18014398509482000
36028797018964000
72057594037927900
144115188075856000
288230376151712000
576460752303423000
1152921504606850000
2305843009213690000
4611686018427390000
9223372036854780000
18446744073709600000
36893488147419100000
73786976294838200000
147573952589676000000
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1180591620717410000000
2361183241434820000000
4722366482869650000000
9444732965739290000000
18889465931478600000000
37778931862957200000000
75557863725914300000000
151115727451829000000000
302231454903657000000000
604462909807315000000000
1208925819614630000000000
2417851639229260000000000
4835703278458520000000000
9671406556917030000000000
19342813113834100000000000
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154742504910673000000000000
309485009821345000000000000
618970019642690000000000000
1237940039285380000000000000
2475880078570760000000000000
4951760157141520000000000000
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19807040628566100000000000000
39614081257132200000000000000
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50216813883093400000000000000000000000000000000000000000000
100433627766187000000000000000000000000000000000000000000000
200867255532374000000000000000000000000000000000000000000000
401734511064748000000000000000000000000000000000000000000000
803469022129495000000000000000000000000000000000000000000000muskelit.
"Kyllä näyttäis Excelissä numeroita riittävän"
Ei. Merkkasin kohdan jossa se luovutti ja täyttää
hännät vaan nollilla
1
2
4
8
16
32
64
128
256
512
1024
2048
4096
8192
16384
32768
65536
131072
262144
524288
1048576
2097152
4194304
8388608
16777216
33554432
67108864
134217728
268435456
536870912
1073741824
2147483648
4294967296
8589934592
17179869184
34359738368
68719476736
137438953472
274877906944
549755813888
1099511627776
2199023255552
4398046511104
8796093022208
17592186044416
35184372088832
70368744177664
140737488355328
281474976710656
562949953421312
-->
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4503599627370500
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401734511064748000000000000000000000000000000000000000000000
803469022129495000000000000000000000000000000000000000000000 - paavali50
riitä ecxelin kirjoitti:
muskelit.
"Kyllä näyttäis Excelissä numeroita riittävän"
Ei. Merkkasin kohdan jossa se luovutti ja täyttää
hännät vaan nollilla
1
2
4
8
16
32
64
128
256
512
1024
2048
4096
8192
16384
32768
65536
131072
262144
524288
1048576
2097152
4194304
8388608
16777216
33554432
67108864
134217728
268435456
536870912
1073741824
2147483648
4294967296
8589934592
17179869184
34359738368
68719476736
137438953472
274877906944
549755813888
1099511627776
2199023255552
4398046511104
8796093022208
17592186044416
35184372088832
70368744177664
140737488355328
281474976710656
562949953421312
-->
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784637716923335000000000000000000000000000000000000000000
1569275433846670000000000000000000000000000000000000000000
3138550867693340000000000000000000000000000000000000000000
6277101735386680000000000000000000000000000000000000000000
12554203470773400000000000000000000000000000000000000000000
25108406941546700000000000000000000000000000000000000000000
50216813883093400000000000000000000000000000000000000000000
100433627766187000000000000000000000000000000000000000000000
200867255532374000000000000000000000000000000000000000000000
401734511064748000000000000000000000000000000000000000000000
803469022129495000000000000000000000000000000000000000000000Niinpä näkyy tekevän. Jossain biljoonan kohdalla (1000000000000)Excel rupeaa tekemään luvuista exponenttilukuja, vai mitä ne nyt mahtaa oikealta nimeltä ollakaan(1,09951E 12).
Siinä vaiheessa loppuu myös häntien laskeminen, ja tulee pelkkiä nollia tilalle.
Alkuperäiselle kysyjälle vielä sen verran että kahdessadas luku on noin.
803469022129495000000000000000000000000000000000000000000000
ja yhteissumma noin
1606938044258990000000000000000000000000000000000000000000000
excel käyttää IEEE (Institute of Electrical and Electronic Engineers)standardia numeroiden varastoimiseen ja sen tarkkuus on 15 numeroa ja sen jälkeiset luvut pyöristetään. Ainoastaan tekstinä voit näyttää isompia lukuja.
tuolta voit latailla apuohjelman, jolla tarkkuudet kohdallaan...
http://xlprecision.precisioncalc.qarchive.org/
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