{"id":35987,"date":"2026-07-01T00:00:22","date_gmt":"2026-07-01T07:00:22","guid":{"rendered":"https:\/\/www.gmpuzzles.com\/blog\/?p=35987"},"modified":"2026-06-28T09:21:26","modified_gmt":"2026-06-28T16:21:26","slug":"sequence-lines-sudoku-by-bill-murphy","status":"publish","type":"post","link":"https:\/\/www.gmpuzzles.com\/blog\/2026\/07\/sequence-lines-sudoku-by-bill-murphy\/","title":{"rendered":"Sequence Lines Sudoku by Bill Murphy"},"content":{"rendered":"<p>(This post is part of the <a href='https:\/\/www.gmpuzzles.com\/blog\/tag\/gas\/'>Genuinely Approachable Sudoku (GAS)<\/a> series.)<br \/>\n<em>Everything should fall in sequence if you are approaching the logic of this Sudoku correctly.<\/em><\/p>\n<p align='center'><img src='https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/260701-SequenceLinesSudoku.png' alt='Sequence Lines Sudoku by Bill Murphy' \/><\/p>\n<p align='center'><a href='https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/260701-SequenceLinesSudoku.pdf'>PDF<\/a><\/p>\n<p>or <a href='https:\/\/www.gmpuzzles.com\/s\/260701Sequ'>solve online<\/a> (using SudokuPad)<\/p>\n<p><b>Author\/Opus:<\/b> This is the 131st puzzle from Bill Murphy, part of the Genuinely Approachable Sudoku (<a href=\"https:\/\/sudokutheory.com\/gas\/\" \/>GAS<\/a>) team.<\/p>\n<p><b>Rules:<\/b> Standard Sudoku rules (insert a number from 1 to 9 into each cell so that no number repeats in any row, column, or bold region). Also, an arithmetic series must be formed along each line so that numbers in adjacent cells have the same difference. Different lines may have different common differences. (For example, a sequence line could be 1-2-3-4 (difference of 1), 1-5-9 (difference of 4), or even 5-5-5 (difference of 0) as long as it obeys other Sudoku rules.)<\/p>\n<p><b>GAS Time Standards (highlight to view):<\/b> Two party hats (\ud83c\udfa9\ud83e\udd73): <span style=\"color: white;background-color: white\">7:00<\/span>; One party hat (\ud83e\udd73): <span style=\"color: white;background-color: white\">13:00<\/span>. All other solvers earn a \ud83e\udd95: <span style=\"color: white;background-color: white\">Thankful Tazoudasaurus<\/span>.<\/p>\n<p><b>Thomas Hits the GAS (highlight to view): <\/b> <span style=\"color: white;background-color: white\">3:05<\/span>, with <a href=\"https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/sudokupad-Bill_Murph-Sequence_Line_Sudoku-a923-d186.replay\">SudokuPad replay file<\/a> shared as a download for now (requires loading via settings menu with improvements expected before people should use this regularly).<\/p>\n<p><b>Solution:<\/b> <a href=\"https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/260701-SequenceLinesSudoku-soln.pdf\">PDF<\/a>; solving video with explanation to be added later from GAS team.<\/p>\n<p><b>Note:<\/b> Follow this link for other less common variations of <a href='https:\/\/www.gmpuzzles.com\/blog\/tag\/sudoku-3+variation-2\/'>Sudoku<\/a>.<\/p>\n<p><b>Note 2:<\/b>\u00a0Comments on the blog are great! For a more interactive discussion, please also consider using our\u00a0<a href='https:\/\/discord.com\/channels\/1059513302847336469\/1380897111599616020'>Daily GAS discussion<\/a>\u00a0post\u00a0on the GMPuzzles Discord. Not a member of the Discord? Click\u00a0<a href='https:\/\/discord.gg\/RNNfEBEbQS'>this link<\/a>\u00a0for basic access.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>(This post is part of the Genuinely Approachable Sudoku (GAS) series.) Everything should fall in sequence if you are approaching the logic of this Sudoku correctly. PDF or solve online (using SudokuPad) Author\/Opus: This is the 131st puzzle from Bill Murphy, part of the Genuinely Approachable Sudoku (GAS) team. Rules: Standard Sudoku rules (insert a [&hellip;]<\/p>\n","protected":false},"author":443,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3,126],"tags":[8,15,56,237],"class_list":["post-35987","post","type-post","status-publish","format-standard","hentry","category-puzzle","category-othersudoku","tag-sudoku-3","tag-wednesdaythursday","tag-variation-2","tag-gas"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Sequence Lines Sudoku by Bill Murphy - The Art of Puzzles<\/title>\n<meta name=\"description\" content=\"Everything should fall in sequence if you are approaching the logic of this Sudoku correctly.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.gmpuzzles.com\/blog\/2026\/07\/sequence-lines-sudoku-by-bill-murphy\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Sequence Lines Sudoku by Bill Murphy - The Art of Puzzles\" \/>\n<meta property=\"og:description\" content=\"Everything should fall in sequence if you are approaching the logic of this Sudoku correctly.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.gmpuzzles.com\/blog\/2026\/07\/sequence-lines-sudoku-by-bill-murphy\/\" \/>\n<meta property=\"og:site_name\" content=\"The Art of Puzzles\" \/>\n<meta property=\"article:published_time\" content=\"2026-07-01T07:00:22+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/260701-SequenceLinesSudoku.png\" \/>\n<meta name=\"author\" content=\"Bill Murphy\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@drsudoku\" \/>\n<meta name=\"twitter:site\" content=\"@drsudoku\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Bill Murphy\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/07\\\/sequence-lines-sudoku-by-bill-murphy\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/07\\\/sequence-lines-sudoku-by-bill-murphy\\\/\"},\"author\":{\"name\":\"Bill Murphy\",\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/#\\\/schema\\\/person\\\/552de1c88fa03b2180785f81655f8014\"},\"headline\":\"Sequence Lines Sudoku by Bill Murphy\",\"datePublished\":\"2026-07-01T07:00:22+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/07\\\/sequence-lines-sudoku-by-bill-murphy\\\/\"},\"wordCount\":248,\"commentCount\":0,\"image\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/07\\\/sequence-lines-sudoku-by-bill-murphy\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.gmpuzzles.com\\\/images\\\/puzzles2026\\\/260701-SequenceLinesSudoku.png\",\"keywords\":[\"sudoku\",\"wed\\\/thurs\",\"variation\",\"gas\"],\"articleSection\":[\"Puzzle\",\"Other Sudoku\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/07\\\/sequence-lines-sudoku-by-bill-murphy\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/07\\\/sequence-lines-sudoku-by-bill-murphy\\\/\",\"url\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2026\\\/07\\\/sequence-lines-sudoku-by-bill-murphy\\\/\",\"name\":\"Sequence Lines Sudoku by Bill Murphy - 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