tag:blogger.com,1999:blog-1314388053372631956.post7322948185320253610..comments2019-09-19T09:59:42.119+03:00Comments on MathBit: 10 numere consecutiveDaly Marciuchttp://www.blogger.com/profile/14152637506245084368noreply@blogger.comBlogger10125tag:blogger.com,1999:blog-1314388053372631956.post-29277035688012833072009-09-07T16:00:48.474+03:002009-09-07T16:00:48.474+03:00De fapt sunt o infinitate de grupe de 10 numere co...De fapt sunt o infinitate de grupe de 10 numere consecutive cu proprietatea data. Cele doua solutii pe care le-ai indicat sunt cazuri particulare ale urmatoarei solutii generale:<br />a+2001,a+2002,...,a+2010, unde a este un multiplu comun al numerelor 2001,2002,...,2010.<br />Cand a=0, obtinem prima solutie indicata de tine, cand a este produsul celor 10 numere consecutive, obtinem a doua solutie.<br />Daca vrem sa determinam solutia generala, determinam c.m.m.m.c. al numerelor 2001,2002,...,2010, fie acesta <i>m</i>, si atunci orice a=k<i>m</i>, k numar natural, va fi un multiplu comun al celor 2010 numere. Cu ajutorul fiecarui a astfel obtinut gasim cate o noua solutie a problemei.<br />Poti arata ca daca 10 numere consecutive verifica cerinta problemei atunci ele sunt in mod necesar de forma precizata mai sus?Daly Marciuchttps://www.blogger.com/profile/14152637506245084368noreply@blogger.comtag:blogger.com,1999:blog-1314388053372631956.post-59637381581844819872009-09-07T15:39:37.842+03:002009-09-07T15:39:37.842+03:00deci... sunt doua variante:
2001,2002,2003,...,20...deci... sunt doua variante: <br />2001,2002,2003,...,2010 sau a=2001*2002*...*2010*k , k E N*<br />a+2001,a+2002,...,a+2010Eddynoreply@blogger.comtag:blogger.com,1999:blog-1314388053372631956.post-12361644766751346962009-09-02T19:47:52.857+03:002009-09-02T19:47:52.857+03:00Nu uita că a e multiplu comun al numerelor 2001,20...Nu uita că <i>a</i> e multiplu comun al numerelor 2001,2002,...,2010.Daly Marciuchttps://www.blogger.com/profile/14152637506245084368noreply@blogger.comtag:blogger.com,1999:blog-1314388053372631956.post-70920724495658719722009-09-02T19:26:03.875+03:002009-09-02T19:26:03.875+03:00nu se divid a+2001 cu 2001 sau a+2002 cu 2002 sau ...nu se divid a+2001 cu 2001 sau a+2002 cu 2002 sau asa mai departe ar trebui sa fie inmultire pentru a se divide nu adunare.Andrisan G.noreply@blogger.comtag:blogger.com,1999:blog-1314388053372631956.post-86361883065066703182009-09-02T15:50:59.507+03:002009-09-02T15:50:59.507+03:00Dar a+2001 se divide cu 2001,
a+2002 se divide cu ...Dar a+2001 se divide cu 2001,<br />a+2002 se divide cu 2002,<br />...,<br />a+2010 se divide cu 2010.<br /><br />Nu-i aşa?Daly Marciuchttps://www.blogger.com/profile/14152637506245084368noreply@blogger.comtag:blogger.com,1999:blog-1314388053372631956.post-90213141559039630722009-09-01T14:53:28.004+03:002009-09-01T14:53:28.004+03:00Si totusi...
Daca a ar fi un multiplu comun al num...Si totusi...<br />Daca <i>a</i> ar fi un multiplu comun al numerelor 2001,2002,2003,...,2010, ce parere aveti despre numerele:<br />a+2001<br />a+2002<br />...<br />a+2010?Daly Marciuchttps://www.blogger.com/profile/14152637506245084368noreply@blogger.comtag:blogger.com,1999:blog-1314388053372631956.post-30197753250793144972009-09-01T12:04:05.147+03:002009-09-01T12:04:05.147+03:00Nu exista, orice multiplu al nunerelor 2001...2010...Nu exista, orice multiplu al nunerelor 2001...2010 vor fi distantate, deci nu consecutive ...Escunoreply@blogger.comtag:blogger.com,1999:blog-1314388053372631956.post-70533093455512238222009-08-31T18:17:03.877+03:002009-08-31T18:17:03.877+03:00Foarte corect!
Există oare şi alte 10 numere conse...Foarte corect!<br />Există oare şi alte 10 numere consecutive cu aceeaşi proprietate?Daly Marciuchttps://www.blogger.com/profile/14152637506245084368noreply@blogger.comtag:blogger.com,1999:blog-1314388053372631956.post-15522336147272001822009-08-31T14:19:28.709+03:002009-08-31T14:19:28.709+03:002001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 20...2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-1314388053372631956.post-53478894883704761062009-08-31T11:18:31.020+03:002009-08-31T11:18:31.020+03:002001,2002,2003,...,20102001,2002,2003,...,2010Dragoshttps://www.blogger.com/profile/00866052275010126055noreply@blogger.com