{"id":1326,"date":"2022-10-31T21:32:57","date_gmt":"2022-10-31T21:32:57","guid":{"rendered":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/?page_id=1326"},"modified":"2022-12-05T21:58:00","modified_gmt":"2022-12-05T21:58:00","slug":"symmetry-properties-of-finite-sums-involving-generalized-fibonacci-numbers","status":"publish","type":"page","link":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/symmetry-properties-of-finite-sums-involving-generalized-fibonacci-numbers\/","title":{"rendered":"Symmetry properties of finite sums involving generalized Fibonacci numbers"},"content":{"rendered":"\n<div style=\"height:77px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:30%\">\n<figure class=\"wp-block-image size-full is-resized is-style-default\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-content\/uploads\/2022\/03\/logovf-4.png\" alt=\"\" class=\"wp-image-752\" width=\"151\" height=\"201\"\/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:70%\">\n<p style=\"font-size:21px\"><strong>Moroccan    Journal of Algebra and Geometry with Applications<\/strong><\/p>\n\n\n\n<p><a href=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/moroccan-journal-of-algebra-and-geometry-with-applications-volume-1-issue-2-2022\/\" data-type=\"URL\" data-id=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/moroccan-journal-of-algebra-and-geometry-with-applications-volume-1-issue-2-2022\/\">Latest articles<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:14px\"><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-huge-font-size\" style=\"color:#060182\"><strong><em>Symmetry properties of finite sums involving generalized Fibonacci numbers<\/em><\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-text-align-center\"><strong>Kunle Adegoke&nbsp;<\/strong><i class=\"fas fa-envelope\"><\/i>, Oluwaseyi Oshin and Adenike Olatinwo<br> Department of Physics and Engineering Physics, Obafemi Awolowo University, 220005 Ile-Ife, Nigeria<\/p>\n\n\n\n<div style=\"height:35px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-text-align-center has-text-color\" style=\"color:#232222;font-size:16px\"><span style=\"color:#626161\" class=\"color\">Pages 189-195 |  Received 08 April 2022,  Accepted 18 July 2022, Published 06 December 2022  <\/span><\/p>\n\n\n\n<div style=\"height:31px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:25%\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:250%\">\n<div style=\"height:51px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-large-font-size\"><strong><span style=\"color:#060182\" class=\"color\">Abstract<\/span><\/strong><\/p>\n\n\n\n<p class=\"has-small-font-size\">We extend a result of I.  J. Good and prove more symmetry properties of sums involving generalized Fibonacci numbers. <\/p>\n\n\n\n<p class=\"has-small-font-size\"><span style=\"color:#060182\" class=\"color\"><strong>Keywords<\/strong>:<\/span>&nbsp; generalized Fibonacci number, Fibonacci number, Lucas number, symmetry property, Horadam sequence, telescoping summation identity.                  <\/p>\n\n\n\n<p class=\"has-small-font-size\"><span style=\"color:#060182\" class=\"color\"><strong>MSC numbers<\/strong>:<\/span> Primary 11B39; Secondary 11B37.<\/p>\n\n\n\n<p class=\"has-small-font-size\"><strong>Downloads:<\/strong> <a href=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-content\/uploads\/2022\/12\/0102MJAGA189_195.pdf\" data-type=\"URL\" data-id=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-content\/uploads\/2022\/12\/0102MJAGA189_195.pdf\">Full-text PDF<\/a>                                <\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:25%\"><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:25%\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:800px\"><a href=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-content\/uploads\/2022\/12\/0102MJAGA189_195.pdf\" class=\"pdfemb-viewer\" style=\"width:700px;height:950px;\" data-width=\"700\" data-height=\"950\" data-toolbar=\"bottom\" data-toolbar-fixed=\"off\">0102MJAGA189_195<\/a>\n<p class=\"wp-block-pdfemb-pdf-embedder-viewer\"><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:25%\"><\/div>\n<\/div>\n\n\n\n<div style=\"height:96px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns 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Adegoke&nbsp;, Oluwaseyi Oshin and Adenike Olatinwo Department of Physics and Engineering Physics, Obafemi Awolowo University, 220005 Ile-Ife, Nigeria Pages 189-195 | Received 08 April 2022, Accepted 18 July 2022, Published 06 December 2022 Abstract We <a class=\"read-more-link\" href=\"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/symmetry-properties-of-finite-sums-involving-generalized-fibonacci-numbers\/\">Read 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