Have a look at these two sequences.<\/p>\n
120
\n222
\n333
\n444
\n555
\n675
\n777
\n897
\n9117
\n10119
\n111210
\n121410
\n131610
\n141612
\n151614
\n161814
\n172014
\n182115
\n192216
\n202317
\n212319
\n222321
\n232323
\n242523<\/p>\n
* * *<\/p>\n
120
\n240
\n360
\n471
\n582
\n6102
\n7122
\n8133
\n9144
\n10164
\n11175
\n12195
\n13215
\n14226
\n15237
\n16257<\/p>\n
* * *<\/p>\n
Now, have a look at these wrong sequences, which are malformed according to the rules underlying the sequence.<\/p>\n
120
\n222
\n333
\n444
\n555
\n675
\n777
\n897
\n9117
\n10119
\n111210
\n111311
\n121511
\n131711
\n141812
\n151814
\n162014
\n172016
\n182117
\n192218
\n202319
\n212321
\n222521
\n232523
\n242624<\/p>\n
* * *<\/p>\n
120
\n222
\n333
\n444
\n555
\n675
\n777
\n897
\n9117
\n10119
\n111210
\n121410
\n131610
\n141612
\n151614
\n161814
\n172014
\n182115
\n192216
\n202317
\n212319
\n222321
\n232424
\n242624
\n* * *<\/p>\n
A LLM could not solve this problem on its own, requiring many hints before it finally stumbled across the correct answer. Can you do better?<\/p>\n
Here are some hints for you, fair reader. If you can complete it without using all of them, you have done better than the bot. If you can complete it without using any, you’re either a puzzle solving mastermind or very in tune with how I think. Each hint is broken up by a line, like so: ^ ^ ^<\/p>\n
^ ^ ^ ^ ^ ^ ^<\/p>\n
Hint #1: It’s not a traditional mathematical number sequence – that is, the number as a whole doesn’t progress by a single rule which is consistently applied from one number to the next. It consists of multiple variables, two of which are affected by a single external (undescribed, but predictable when you understand the incrementation) condition.<\/p>\n
^ ^ ^ ^ ^ ^ ^<\/p>\n
Hint #2: The sequence terminates because of an external condition.<\/p>\n
^ ^ ^ ^ ^ ^ ^<\/p>\n
Hint #3: The chief external condition that controls the middle and end values, from a mathematical point of view, a variable with three possible states. It can vary from row to row.<\/p>\n
Have a look at these two sequences. 120 222 333 444 555 675 777 897 9117 10119 111210 121410 131610 141612 151614 161814 172014 182115 192216 202317 212319 222321 232323 242523 * * * 120 240 360 471 582 6102 7122 8133 9144 10164 11175 12195 13215 14226 15237 16257 * * * Now, have … Continue reading “Series Puzzle”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6,26],"tags":[5,25],"class_list":["post-75","post","type-post","status-publish","format-standard","hentry","category-logic","category-puzzles","tag-logic","tag-puzzles"],"_links":{"self":[{"href":"https:\/\/gpress.soopergrape.com\/index.php\/wp-json\/wp\/v2\/posts\/75","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gpress.soopergrape.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gpress.soopergrape.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gpress.soopergrape.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gpress.soopergrape.com\/index.php\/wp-json\/wp\/v2\/comments?post=75"}],"version-history":[{"count":4,"href":"https:\/\/gpress.soopergrape.com\/index.php\/wp-json\/wp\/v2\/posts\/75\/revisions"}],"predecessor-version":[{"id":79,"href":"https:\/\/gpress.soopergrape.com\/index.php\/wp-json\/wp\/v2\/posts\/75\/revisions\/79"}],"wp:attachment":[{"href":"https:\/\/gpress.soopergrape.com\/index.php\/wp-json\/wp\/v2\/media?parent=75"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gpress.soopergrape.com\/index.php\/wp-json\/wp\/v2\/categories?post=75"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gpress.soopergrape.com\/index.php\/wp-json\/wp\/v2\/tags?post=75"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}