{"id":552,"date":"2017-12-30T17:59:50","date_gmt":"2017-12-30T21:59:50","guid":{"rendered":"http:\/\/www.blogs.euni.org\/?p=552"},"modified":"2017-12-30T17:59:50","modified_gmt":"2017-12-30T21:59:50","slug":"the-fibonacci-demo","status":"publish","type":"post","link":"https:\/\/www.blogs.euni.org\/?p=552","title":{"rendered":"The Fibonacci Demo"},"content":{"rendered":"<p>\u201cYou lose again, Lenny\u201c sneered Snipe after his loaded dice turned up another seven on the green felt table mat.<\/p>\n<p>\u201cNow you owe me a hundred dollars. Hand it over now,\u201d demanded Snipe, hand extended.<\/p>\n<p>\u201cWell. . . seems you have had an extraordinary streak of luck, Snipe,\u201d replied Lenny, raising an eyebrow while handing over a Franklin note.<\/p>\n<p>\u201cTo show I\u2019m not a bad loser, how about a bet for two hundred bucks this time?\u201d suggested Lenny.<\/p>\n<p>\u201cWhat kind of a bet,\u201d said Snipe suspiciously, eyes narrowing while he pocketed the Franklin note.<\/p>\n<p>\u201cWell, it goes like this, Snipe. You think of two numbers. Then I ask you to manipulate the numbers some times, after which I tell you the result,\u201d explained Lenny.<\/p>\n<p>\u201cYou mean, I don\u2019t tell you what the numbers I think of and manipulate are? said an incredulous Snipe.<\/p>\n<p>\u201cThat\u2019s right,\u201d said Lenny with a mischievous smile.<\/p>\n<p>\u201cYou\u2019re on, and you\u2019ll lose again,\u201d laughed Snipe.<\/p>\n<p>Lenny pulled out a pocket calculator, a yellow notepad and a pen from his backpack and placed them on the table in front of a surprised Snipe.<\/p>\n<p>\u201cHere you go, Snipe. You just think of two numbers and get ready to write down all the results, so we can check them later, if necessary,\u201d explained Lenny.<\/p>\n<p>\u201cI\u2019ve already got two numbers in mind,\u201d said Snipe, eyeing some cars passing by.<\/p>\n<p>\u201cThen add them together,\u201d instructed Lenny.<\/p>\n<p>\u201cNo problem, \u201c replied Snipe, noting the sum with his pad well hidden from view.<\/p>\n<p>\u201cNow add one of the two numbers you first thought of to the sum you just got,\u201d continued Lenny.<\/p>\n<p>\u201cDone, no sweat.\u201d Snipe was already anticipating the two hundred dollars he would soon win.<\/p>\n<p>\u201cTo the new sum, add the last sum.\u201d<\/p>\n<p>\u201cOk.\u201d<\/p>\n<p>\u201cTo the new sum, add the last sum,\u201d said Lenny.<\/p>\n<p>\u201cOk, how long will this continue,\u201d complained Snipe with a bored expression on his face.<\/p>\n<p>\u201cTo the new sum, add the last sum,\u201d said Lenny.<\/p>\n<p>\u201cYou sound like a parrot.\u201d<\/p>\n<p>\u201cTo the new sum, add the last sum,\u201d said Lenny.<\/p>\n<p>\u201cCome on. I don\u2019t have all day.\u201d Snipe was getting irritated.<\/p>\n<p>\u201cTo the new sum, add the last sum,\u201d said Lenny.<\/p>\n<p>\u201cOk, the last time or the bet\u2019s off,\u201d threatened Snipe.<\/p>\n<p>\u201cNow divide the last sum you have by the previous sum,\u201d said Lenny.<\/p>\n<p>\u201cGood enough,\u201d said Snipe.<\/p>\n<p>\u201cMultiply the result by ten and strike out the fractional part,\u201d said Lenny.<\/p>\n<p>\u201cOk, and now what?\u201d<\/p>\n<p>\u201cNow I\u2019ll tell you what the number you have left is, and if I am right, you lose the bet,\u201d said Lenny.<\/p>\n<p>\u201cNo way you can know it. Go ahead, tell me the wrong number.\u201d<\/p>\n<p>\u201cThe number you have left is sixteen. Show me your notepad results,\u201d demanded Lenny.<\/p>\n<p>A surprised Snipe handed over the notepad.<\/p>\n<p>\u201cRats, I don\u2019t believe it!! Tell me how it works.\u201d said Snipe mouth agape.<\/p>\n<p>\u201cPay up the two hundred dollars and I\u2019ll give you some advice,\u201d said Lenny.<\/p>\n<p>Snipe handed over the two hundred dollars. \u201cSo what\u2019s your advice,\u201d said Snipe eagerly awaiting the advice.<\/p>\n<p>\u201cI won\u2019t tell you how it works, because you\u2019ll use it to make money from people ignorant of mathematics. My advice is to get some education and learn a useful profession,\u201d said Lenny.<\/p>\n<p>Snipe threw down the pen and stomped off in disgust.<\/p>\n<p><em>Can you work out how Lenny knew the final result?<\/em><\/p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-icon sd-sharing\"><h3 class=\"sd-title\">Share this:<\/h3><div class=\"sd-content\"><ul><li class=\"share-twitter\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-twitter-552\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=552&amp;share=twitter\" target=\"_blank\" title=\"Click to share on Twitter\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Twitter (Opens in new window)<\/span><\/a><\/li><li class=\"share-facebook\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-facebook-552\" class=\"share-facebook sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=552&amp;share=facebook\" target=\"_blank\" title=\"Click to share on Facebook\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Facebook (Opens in new window)<\/span><\/a><\/li><li class=\"share-linkedin\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-linkedin-552\" class=\"share-linkedin sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=552&amp;share=linkedin\" target=\"_blank\" title=\"Click to share on LinkedIn\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on LinkedIn (Opens in new window)<\/span><\/a><\/li><li class=\"share-jetpack-whatsapp\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-jetpack-whatsapp sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=552&amp;share=jetpack-whatsapp\" target=\"_blank\" title=\"Click to share on WhatsApp\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on WhatsApp (Opens in new window)<\/span><\/a><\/li><li class=\"share-end\"><\/li><\/ul><\/div><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>\u201cYou lose again, Lenny\u201c sneered Snipe after his loaded dice turned up another seven on the green felt table mat. \u201cNow you owe me a hundred dollars. Hand it over now,\u201d demanded Snipe, hand extended. \u201cWell. . . seems you have had an extraordinary streak of luck, Snipe,\u201d replied Lenny, raising an eyebrow while handing [&hellip;]<\/p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-icon sd-sharing\"><h3 class=\"sd-title\">Share this:<\/h3><div class=\"sd-content\"><ul><li class=\"share-twitter\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-twitter-552\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=552&amp;share=twitter\" target=\"_blank\" title=\"Click to share on Twitter\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Twitter (Opens in new window)<\/span><\/a><\/li><li class=\"share-facebook\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-facebook-552\" class=\"share-facebook sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=552&amp;share=facebook\" target=\"_blank\" title=\"Click to share on Facebook\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Facebook (Opens in new window)<\/span><\/a><\/li><li class=\"share-linkedin\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-linkedin-552\" class=\"share-linkedin sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=552&amp;share=linkedin\" target=\"_blank\" title=\"Click to share on LinkedIn\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on LinkedIn (Opens in new window)<\/span><\/a><\/li><li class=\"share-jetpack-whatsapp\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-jetpack-whatsapp sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=552&amp;share=jetpack-whatsapp\" target=\"_blank\" title=\"Click to share on WhatsApp\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on WhatsApp (Opens in new window)<\/span><\/a><\/li><li class=\"share-end\"><\/li><\/ul><\/div><\/div><\/div>","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false},"categories":[50],"tags":[163,162],"jetpack_featured_media_url":"","jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7zDaf-8U","jetpack-related-posts":[{"id":651,"url":"https:\/\/www.blogs.euni.org\/?p=651","url_meta":{"origin":552,"position":0},"title":"The Threes Puzzle","date":"July 13, 2018","format":false,"excerpt":"\u201cDaddy, I\u2019d like to have the little red bicycle you see in the shop window over there,\u201d Lenny said pointing, as they were taking a walk along the avenue. \u201cSure, Lenny,\u201d said daddy, \u201cIf you can solve a little puzzle, I\u2019ll buy it for you right away.\u201d \u201cYippee, daddy,\u201d said\u2026","rel":"","context":"In &quot;Algebra&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":765,"url":"https:\/\/www.blogs.euni.org\/?p=765","url_meta":{"origin":552,"position":1},"title":"Six Colored Balls","date":"November 14, 2018","format":false,"excerpt":"\u201cDaddy, what are these six colored balls for?\u201d \u201cWell, son, you\u2019ll notice that three of them are red, two blue and one is green. The red balls all have the number one printed on them, the blue balls all have the number two printed on them, and the green one\u2026","rel":"","context":"In &quot;Combinations&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":911,"url":"https:\/\/www.blogs.euni.org\/?p=911","url_meta":{"origin":552,"position":2},"title":"Balls Under Cups","date":"May 22, 2019","format":false,"excerpt":"One sunny Saturday afternoon while Lennie was taking his daily stroll in the city, he passed a young woman walking bent over, hands on her face, crying. \u201cWhat\u2019s the matter, girl,\u201d said Lennie, stepping alongside. \u201cI\u2019ve just been cheated of 20 quid I had saved up to buy my sick\u2026","rel":"","context":"In &quot;Number Theory&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":830,"url":"https:\/\/www.blogs.euni.org\/?p=830","url_meta":{"origin":552,"position":3},"title":"The Bookstore Shelf","date":"December 15, 2018","format":false,"excerpt":"Harry was busy arranging books on a book shelf at the Wide Horizons Book Shop. Harry was positioning two copies of Inferno,\u00a0 three copies of The Da Vinci Code and four of Origin. A little boy stood there watching Harry. \u201cI\u2019ll bet you don\u2019t know in how many ways you\u2026","rel":"","context":"In &quot;Combinations&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":874,"url":"https:\/\/www.blogs.euni.org\/?p=874","url_meta":{"origin":552,"position":4},"title":"Out Buying Marbles","date":"February 28, 2019","format":false,"excerpt":"Lenny was out on the town with his daddy and they entered a toy store. \u201cI would like to buy twelve marbles, daddy,\u201d said Lenny loudly. \u201cOk, my boy, let\u2019s ask the man,\u201d said daddy. \u201cWe have lots of marbles, sonny,\u201d said the shopkeeper, smiling down at the young boy,\u2026","rel":"","context":"In &quot;Combinations&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":821,"url":"https:\/\/www.blogs.euni.org\/?p=821","url_meta":{"origin":552,"position":5},"title":"Two Bridge Hands","date":"November 30, 2018","format":false,"excerpt":"One early and sunny Sunday afternoon at the Royal Banana Plantation Bridge Club, there arose an animated discussion as to whether hand A consisting of five clubs, four hearts, three diamonds and one spade was more probable than hand B with four spades, four hearts, four diamonds and one club.\u2026","rel":"","context":"In &quot;Combinations&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/552"}],"collection":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=552"}],"version-history":[{"count":3,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/552\/revisions"}],"predecessor-version":[{"id":555,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/552\/revisions\/555"}],"wp:attachment":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=552"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=552"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=552"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}