[{"data":1,"prerenderedAt":346},["ShallowReactive",2],{"api/learn-center-post-en-what-is-the-fibonacci-sequence-and-how-is-it-used-in-trading":3,"footer-en":56,"learn/crypto-trading/what-is-the-fibonacci-sequence-and-how-is-it-used-in-trading-en-seo":254,"navigation-en-learn-center":259,"api/learn-categories-en":307},{"seo":4,"locale":21,"breadcrumbs":22,"excerpt":30,"featuredImage":31,"components":38,"title":5,"formattedPublishedAt":49,"geofencings":50,"category":51,"pagination":53,"campaignExternalId":7},{"title":5,"metaTitle":5,"metaDescription":6,"keywords":7,"metaRobots":7,"structuredData":8,"metaImage":9,"metaSocial":17,"canonicalURL":7,"localizations":18},"What is the Fibonacci Sequence and how is it used in trading? ","The Fibonacci sequence, a series where each number is the sum of the two before it, appears in nature's patterns and influences financial market analysis.",null,{},{"url":10,"mime":11,"ext":12,"width":13,"height":14,"name":15,"alt":16},"bitstampImageUrl/what_is_the_fibonacci_sequence_577ffa0990_e67d3d8378.png","image/png",".png",900,451,"what_is_the_fibonacci_sequence_577ffa0990.png","",[],[19],{"pathname":20,"locale":21},"/learn/crypto-trading/what-is-the-fibonacci-sequence-and-how-is-it-used-in-trading/","en",[23,27],{"id":24,"text":25,"url":24,"asUrl":26},"/learn/crypto-trading/","Crypto trading",true,{"id":28,"text":5,"url":20,"asUrl":29},"what-is-the-fibonacci-sequence-and-how-is-it-used-in-trading",false,"\u003Cp>The Fibonacci sequence is a series of numbers where every number is calculated by adding together the two preceding numbers. This pattern can be found throughout the natural world, including in seashell spirals and sunflower patterns, and is also relevant within the financial market.   \u003C/p>\n",{"url":32,"mime":33,"ext":34,"width":35,"height":36,"name":37,"alt":16},"bitstampImageUrl/what_is_the_fibonacci_sequence_2c0e205cf5_d0eef8229b.svg","image/svg+xml",".svg",1920,1081,"what_is_the_fibonacci_sequence_2c0e205cf5.svg",[39],{"component":40,"props":41,"content":42,"secondaryContent":46,"ctas":47,"secondaryCtas":48,"ctasNoMarginTop":29},"section.full-text",{"centered":29,"withoutSectionContainer":29},{"text":43,"width":44,"align":45},"\u003Cp>Leonardo Fibonacci, an Italian mathematician, introduced the Fibonacci sequence in 1202 in his book \u003Cem>Liber Abaci\u003C/em>. Fibonacci posed a thought experiment involving rabbit breeding, leading to a sequence where each number is the sum of the two preceding ones. \u003C/p>\n\u003Cp>The Fibonacci sequence is expressed as: 0, 1, 1, 2, 3, 5, 8, 13, 21, and so on. As the Fibonacci sequence advances, the ratio between consecutive numbers (the first number divided by the second number) approaches approximately 1.618, a number known as the \u003Cstrong>Golden Ratio\u003C/strong>.  \u003C/p>\n\u003Cp>The pattern is commonly used to calculate ratios that traders and analysts apply to identify turning points in price charts.   \u003C/p>\n\u003Ch2>Fibonacci in Trading\u003C/h2>\n\u003Cp>In \u003Ca href=\"https://www.bitstamp.net/learn/crypto-trading/what-is-technical-and-fundamental-analysis/\">technical analysis\u003C/a>, traders add Fibonacci ratios as horizontal lines on a chart to identify potential support and resistance levels to predict targets and potential trend reversals, known as Fibonacci retracement levels.  \u003C/p>\n\u003Ch3>What are Fibonacci Retracement Levels?\u003C/h3>\n\u003Cp>Key Fibonacci levels used in trading include 23.6%, 38.2%, 50%, 61.8%, 78.6%, and typically come from calculating the relationships between the numbers in the Fibonacci sequence.   \u003C/p>\n\u003Cp>The Fibonacci sequence number string derives all the Fibonacci retracement levels. For example, dividing a number by its following number results in 0.618 (61.8%), which is a key Fibonacci level. Dividing it by the second number following it results in 0.382 (38.2%), another key level. Every level outside of 50% (which is not a Fibonacci number) is based on some calculation within this number string.  \u003C/p>\n\u003Cp>Fibonacci retracements are used to identify potential pullbacks within an existing trend. Suppose the price of Bitcoin rises by $1000 and then drops by $236. In that case, it has retraced 23.6%, which is a Fibonacci number. If the price dips further, traders might look at the next retracement levels of 38.2% or 61.8%.  \u003C/p>\n\u003Cp>\u003Cstrong>Of note\u003C/strong>, Fibonacci extensions are also calculated using the string of numbers and are used to project potential price targets beyond the current trend, like during price discovery. Common extension levels include 61.8%, 100%, 161.8%, 200%, and 261.8%.  \u003C/p>\n\u003Ch3>How to Use Fibonacci Levels\u003C/h3>\n\u003Cp>Traders tend to use Fibonacci retracement levels to know when to enter and exit a trade.  \u003C/p>\n\u003Cp>For example, during an uptrend, a trader notices that the price of an asset has decreased by 38.2%. This could provide the perfect entry to purchase that asset with the hopes that the asset will recover that retracement.  \u003C/p>\n\u003Cp>Longer-term traders can use the Fibonacci retracement levels as key reference points for setting stop-loss orders. If you’re unfamiliar, a stop-loss order acts as a safety net to automatically sell a trader’s position if the market price drops below that level. Traders might place their stop-loss just below a key Fibonacci retracement level to protect their capital if the price continues the downtrend rather than bounce from that level. \u003C/p>\n\u003Ch2>Fibonacci Sequence Essentials\u003C/h2>\n\u003Cul>\n\u003Cli>The Fibonacci sequence, found in nature and art, also has applications in trading through retracement levels, which indicate potential support and resistance areas. \u003C/li>\n\u003Cli>Key Fibonacci retracement levels, derived from mathematical relationships within the sequence, include 23.6%, 38.2%, 50%, 61.8%, and 78.6%. \u003C/li>\n\u003Cli>Traders use Fibonacci retracement levels to identify potential entry and exit points, and as reference points for setting stop-loss orders to manage risk.\u003C/li>\n\u003C/ul>\n","full","left",{"text":16},[],[],"December 12th, 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20 3868 9628","+442038689628",{},{},{"noFollow":29,"isExternal":29,"name":238,"value":239,"isEmail":29,"isPhoneNumber":26,"isText":29,"showOnDesktop":26,"showOnMobile":26,"attachment":240,"geofencings":241},"+1 800 712 5702","+18007125702",{},{},{"noFollow":29,"isExternal":29,"name":243,"value":244,"isEmail":29,"isPhoneNumber":26,"isText":29,"showOnDesktop":26,"showOnMobile":26,"attachment":245,"geofencings":246},"+352 20 88 10 96","+35220881096",{},{},{"noFollow":29,"isExternal":29,"name":248,"value":249,"isEmail":29,"isPhoneNumber":26,"isText":29,"showOnDesktop":26,"showOnMobile":26,"attachment":250,"geofencings":251},"+65 3105 1676","+6531051676",{},{},"\u003Cp>Please read the general \u003Ca href=\"/legal/risk-warning/\" target=\"_blank\" rel=\"noopener noreferrer nofollow\">Risk Warning\u003C/a>, and \u003Ca href=\"/legal/uk-investment-risk-warning/\" target=\"_blank\" rel=\"noopener noreferrer nofollow\">Risk Summary\u003C/a> for UK residents before investing in crypto-assets. \u003C/p>\n\u003Cp>Crypto-assets services are provided by the following Bitstamp legal entities depending on client residency: (1) Bitstamp Europe S.A., which is authorized by the Commission de Surveillance du Secteur Financier (CSSF) in Luxembourg as a payment institution (licence number Z00000012) and crypto-asset service provider (licence number N00000003); Registered address: 40, avenue Monterey, L-2163 Luxembourg, Grand Duchy of Luxembourg; Registration number: B196856; (2) Bitstamp UK Ltd., which is registered with the Financial Conduct Authority (FCA) in the UK for the provision of certain cryptoassets activities under the Money Laundering Regulations (Firm Reference Number 978690); Registered address: 5 New Street Square, EC4A 3TW London, United Kingdom; Registration number: 14174243; (3) Bitstamp Ltd.with its registered address at 5 New Street Square, EC4A 3TW London, United Kingdom and registration number: 8157033; (4) Bitstamp Global Ltd., which is registered as a Virtual Asset Service Provider in the British Virgin Islands and is supervised by the British Virgin Islands Financial Services Commission (FSC); Registered address: Floor 4, Banco Popular Building, Road Town, Tortola VG1110, British Virgin Islands; Registered number: 2086429; and (5) Bitstamp Asia Pte Ltd, which is authorized by the Monetary Authority of Singapore (MAS) as a major payment institution (licence number PS20200667); Registered address: 63 Chulia Street, OCBC Centre East, #15-01, Singapore 049514; Registered number: 202016687K;\u003C/p>\n\u003Cp>Virtual currency services to US residents are provided by Bitstamp USA, Inc., which is licensed to engage in virtual currency business activity by the New York State Department of Financial Services. Licensed as a Money Transmitter by the New York State Department of Financial Services. Review a \u003Ca href=\"/legal/usa-inc/\" target=\"_blank\" rel=\"noopener noreferrer nofollow\">list of its licenses and other registrations\u003C/a> (NMLS number \u003Ca href=\"https://www.nmlsconsumeraccess.org/EntityDetails.aspx/COMPANY/1905429\" target=\"_blank\" rel=\"noopener noreferrer nofollow\">1905429\u003C/a>) for more information; Registered address: 85 Willow Road, Menlo Park, CA 94025, United States of America; Registered number: 5481543.\u003C/p>\n\u003Cp>Investment services with regards to trading in crypto derivatives are provided by Bitstamp Financial Services Ltd., which is authorized and supervised by the Slovenian Securities Market Agency (ATVP) as a MiFiD investment firm. Trading crypto derivatives carries significant risks and may result in substantial losses. Please trade responsibly and ensure you understand the associated risks. You can find more about the risks \u003Ca href=\"/legal/financial-services/general-terms-and-conditions/\" target=\"_blank\" rel=\"noopener noreferrer nofollow\">here\u003C/a>. To help you understand the risks involved we have put together a series of \u003Ca href=\"/derivatives/key-information-documents/\" target=\"_blank\" rel=\"noopener noreferrer\">Key Information Documents (KIDs)\u003C/a> highlighting the risks and rewards related to each derivatives contract. Crypto derivatives trading is not available to customers in the US, Canada, Japan and some other countries. Bitstamp Financial Services Ltd. does not provide crypto-asset services.\u003C/p>\n\u003Cp>To find out more about which Bitstamp entity you receive services from, please check the Profile/My information in your Bitstamp account. You can read more about our legal terms, policies and disclosures \u003Ca href=\"/legal/\" target=\"_blank\" rel=\"noopener noreferrer nofollow\">here\u003C/a>.\u003C/p>\n","\u003Cp>All rights reserved © 2026 Bitstamp by Robinhood. \u003Ca href=\"https://www.nmlsconsumeraccess.org/EntityDetails.aspx/COMPANY/1905429\" target=\"_blank\" rel=\"noopener noreferrer nofollow\">NMLS #1905429\u003C/a>\u003C/p>\n",{"description":6,"ogDescription":6,"ogImage":255,"twitterImage":255,"twitterSite":256,"twitterCreator":256,"twitterCard":257,"twitterTitle":5,"twitterDescription":6,"titleTemplate":258},"https://assets.bitstamp.net/msc/_ipx/enlarge_true&f_png&fit_cover&q_85&s_1200x630/bitstampImageUrl/what_is_the_fibonacci_sequence_577ffa0990_e67d3d8378.png","@Bitstamp","summary_large_image","%s",{"items":260,"ready":26,"platformButtonText":303,"backButtonText":304,"logInButtonText":305,"signUpButtonText":306},[261,265,269,272,275,278,281,286,289,294,299],{"headerName":262,"sidemenuName":133,"url":134,"noFollow":29,"showInHeader":26,"showInSidemenu":26,"geofencings":263,"submenu":264,"tag":16},"Institutions",{},[],{"headerName":125,"sidemenuName":125,"url":126,"noFollow":29,"showInHeader":26,"showInSidemenu":26,"geofencings":266,"submenu":267,"tag":268},{},[],"NEW",{"headerName":148,"sidemenuName":148,"url":149,"noFollow":29,"showInHeader":26,"showInSidemenu":26,"geofencings":270,"submenu":271,"tag":16},{},[],{"headerName":105,"sidemenuName":105,"url":106,"noFollow":29,"showInHeader":26,"showInSidemenu":26,"geofencings":273,"submenu":274,"tag":16},{},[],{"headerName":115,"sidemenuName":115,"url":116,"noFollow":29,"showInHeader":26,"showInSidemenu":26,"geofencings":276,"submenu":277,"tag":16},{},[],{"headerName":120,"sidemenuName":120,"url":121,"noFollow":29,"showInHeader":26,"showInSidemenu":26,"geofencings":279,"submenu":280,"tag":16},{"geofencing-uk":26},[],{"headerName":282,"sidemenuName":282,"url":283,"noFollow":29,"showInHeader":26,"showInSidemenu":26,"geofencings":284,"submenu":285,"tag":16},"Markets","/markets/",{},[],{"headerName":110,"sidemenuName":110,"url":111,"noFollow":29,"showInHeader":26,"showInSidemenu":26,"geofencings":287,"submenu":288,"tag":16},{},[],{"headerName":290,"sidemenuName":290,"url":291,"noFollow":29,"showInHeader":26,"showInSidemenu":26,"geofencings":292,"submenu":293,"tag":16},"Blog","https://blog.bitstamp.net/",{},[],{"headerName":295,"sidemenuName":295,"url":296,"noFollow":29,"showInHeader":26,"showInSidemenu":26,"geofencings":297,"submenu":298,"tag":16},"Learn","/learn/",{},[],{"headerName":300,"sidemenuName":300,"url":106,"noFollow":29,"showInHeader":29,"showInSidemenu":26,"geofencings":301,"submenu":302,"tag":16},"Get Bitstamp by Robinhood app",{},[],"Go to platform","Back","Log in","Get started",[308,312,316,320,324,326,330,334,338,342],{"title":309,"url":310,"geofencings":311},"Blockchain technology","/learn/blockchain/",{},{"title":313,"url":314,"geofencings":315},"Company profiles","/learn/company-profiles/",{},{"title":317,"url":318,"geofencings":319},"Crypto 101","/learn/crypto-101/",{},{"title":321,"url":322,"geofencings":323},"Crypto definitions","/learn/crypto-definitions/",{},{"title":25,"url":24,"geofencings":325},{},{"title":327,"url":328,"geofencings":329},"Cryptocurrency guide","/learn/cryptocurrency-guide/",{"geofencing-uk":26},{"title":331,"url":332,"geofencings":333},"People profiles","/learn/people-profiles/",{},{"title":335,"url":336,"geofencings":337},"Security","/learn/security/",{},{"title":339,"url":340,"geofencings":341},"Tutorials","/learn/bitstamp-tutorials/",{},{"title":343,"url":344,"geofencings":345},"Web3","/learn/web3/",{},1775562952857]