{"id":27626,"date":"2022-12-25T12:58:32","date_gmt":"2022-12-25T07:28:32","guid":{"rendered":"https:\/\/jassweb.com\/solved\/solved-the-fibonacci-formula-does-not-correctly-output-the-nth-value\/"},"modified":"2022-12-25T12:58:32","modified_gmt":"2022-12-25T07:28:32","slug":"solved-the-fibonacci-formula-does-not-correctly-output-the-nth-value","status":"publish","type":"post","link":"https:\/\/jassweb.com\/solved\/solved-the-fibonacci-formula-does-not-correctly-output-the-nth-value\/","title":{"rendered":"[Solved] The Fibonacci formula does not correctly output the Nth value"},"content":{"rendered":"<p> [ad_1]<br \/>\n<\/p>\n<div id=\"answer-69065594\" class=\"answer js-answer accepted-answer js-accepted-answer\" data-answerid=\"69065594\" data-parentid=\"69065321\" data-score=\"-1\" data-position-on-page=\"1\" data-highest-scored=\"1\" data-question-has-accepted-highest-score=\"1\" itemprop=\"acceptedAnswer\" itemscope itemtype=\"https:\/\/schema.org\/Answer\">\n<div class=\"post-layout\">\n<div class=\"votecell post-layout--left\"><\/div>\n<div class=\"answercell post-layout--right\">\n<div class=\"s-prose js-post-body\" itemprop=\"text\">\n<p>As mentioned in the comment above your program do its job and perfectly described the Fibonacci sequence. Here I implement the recursive version and then compare the result with your implementation (explicit form).<\/p>\n<pre><code>import math\n\ndef staircase(n):\n\n    term_a = ((1 + math.sqrt(5)) \/ 2) ** n\n    term_b = ((1 - math.sqrt(5)) \/ 2) ** n\n\n    numerator = term_a - term_b\n    denominator = math.sqrt(5)\n\n    return int(numerator \/ denominator)\n\n\ndef fibo_rec(n):\n    # initial conditions\n    if n == 0: return 0\n    if n == 1: return 1\n    # recursive relationship\n    return fibo_rec(n-1) + fibo_rec(n-2)\n\nn = 20\ntest = [fibo_rec(i) for i in range(n)] == [staircase(i) for i in range(n)]\nprint(test)\n<\/code><\/pre>\n<p>Output<\/p>\n<pre><code>True\n<\/code><\/pre>\n<\/p><\/div>\n<div class=\"mt24\"><\/div>\n<\/div>\n<p>            <span class=\"d-none\" itemprop=\"commentCount\">1<\/span> <\/p><\/div>\n<\/div>\n<p>[ad_2]<\/p>\n<p>solved The Fibonacci formula does not correctly output the Nth value <\/p>\n","protected":false},"excerpt":{"rendered":"<p>[ad_1] As mentioned in the comment above your program do its job and perfectly described the Fibonacci sequence. Here I implement the recursive version and then compare the result with your implementation (explicit form). import math def staircase(n): term_a = ((1 + math.sqrt(5)) \/ 2) ** n term_b = ((1 &#8211; math.sqrt(5)) \/ 2) ** &#8230; <a title=\"[Solved] The Fibonacci formula does not correctly output the Nth value\" class=\"read-more\" href=\"https:\/\/jassweb.com\/solved\/solved-the-fibonacci-formula-does-not-correctly-output-the-nth-value\/\" aria-label=\"More on [Solved] The Fibonacci formula does not correctly output the Nth value\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[320],"tags":[2803,349],"class_list":["post-27626","post","type-post","status-publish","format-standard","hentry","category-solved","tag-fibonacci","tag-python"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>[Solved] The Fibonacci formula does not correctly output the Nth value - JassWeb<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/jassweb.com\/solved\/solved-the-fibonacci-formula-does-not-correctly-output-the-nth-value\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"[Solved] The Fibonacci formula does not correctly output the Nth value - JassWeb\" \/>\n<meta property=\"og:description\" content=\"[ad_1] As mentioned in the comment above your program do its job and perfectly described the Fibonacci sequence. Here I implement the recursive version and then compare the result with your implementation (explicit form). import math def staircase(n): term_a = ((1 + math.sqrt(5)) \/ 2) ** n term_b = ((1 - math.sqrt(5)) \/ 2) ** ... 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Here I implement the recursive version and then compare the result with your implementation (explicit form). import math def staircase(n): term_a = ((1 + math.sqrt(5)) \/ 2) ** n term_b = ((1 - math.sqrt(5)) \/ 2) ** ... 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