X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: f996b,43829188203eedab X-Google-Attributes: gidf996b,public X-Google-ArrivalTime: 2001-08-21 00:46:15 PST Path: archiver1.google.com!newsfeed.google.com!sn-xit-02!supernews.com!news.tele.dk!small.news.tele.dk!194.25.134.62!newsfeed00.sul.t-online.de!newsfeed01.sul.t-online.de!t-online.de!feed.news.nacamar.de!rz.uni-karlsruhe.de!news.rz.uni-karlsruhe.de!not-for-mail From: Markus Gebhard Newsgroups: alt.ascii-art Subject: Re: mathematical expressions Date: Tue, 21 Aug 2001 09:45:35 +0200 Organization: University of Karlsruhe, Germany Lines: 51 Message-ID: <3B82119F.1AB52C53@rz.uni-karlsruhe.de> References: <3B80D892.C7B984F9@rz.uni-karlsruhe.de> <9lsjqs$4in$1@cantuc.canterbury.ac.nz> NNTP-Posting-Host: wn4-jarjar.wn4.uni-karlsruhe.de Mime-Version: 1.0 Content-Type: text/plain; charset=us-ascii Content-Transfer-Encoding: 7bit X-Trace: news.rz.uni-karlsruhe.de 998379973 26489 172.20.12.141 X-Complaints-To: usenet@rz.uni-karlsruhe.de X-Mailer: Mozilla 4.78 [en] (Win98; U) X-Accept-Language: en Xref: archiver1.google.com alt.ascii-art:7038 Bill Taylor wrote: > > See if you can calculate the following... > > .----------------------------------------------------------- > / .------------------------------------------------ > / / .------------------------------------- > / / / .-------------------------- > / / / / .--------------- > / 7 + 1 / 17 + 4 / 31 + 9 / 49 + 16 / 71 + 25 /~~~... > v v v v v v At first sight I would say the result is: __ V14 Looking again I convert your series into this recursion: 2 _______ a = c + n * / a + 1 n n V n with c = c + 4*n + 2; c = 1 n n-1 0 ____ And you are looking for / a V 1 And now looking again at what I have written makes me very sad and so I better go having some breakfast. Well, here is the coffee: ( ( ) ) ) _(,..(....(__ _.-'' ) ) ) '-.. ' ( ( `. '. ..::::::::):::.... , '.-.::::::::::::::::::,`'/ \ '`--........---' / | /''--. '. / ,| \ / _,' _.--''\ ' ,-.._ ,-' . \ ,,' '-. ,' . \ ' . ` | . `.________.' . | \ . . _' '-._ . . . _.- '--...___ ___,.,-'' '''''''''' Markus