Problem 51002. Deduce the pattern behind the sequence

Created by ChrisR

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Here's a sequence.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Tricky? Not!</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>You'll deduce it</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>From this plot.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t> </w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>If the plot gives </w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>You the blues,</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>The test suite should</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Provide some clues.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t> </w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Feeling anxious?</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>You'll be fine.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>The code I wrote</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Is one short line.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"492\"/><w:attr w:name=\"width\" w:val=\"657\"/><w:attr w:name=\"verticalAlign\" w:val=\"baseline\"/><w:attr w:name=\"altText\" w:val=\"\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p></w:body></w:document>","relationship":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","target":"/media/image1.png","relationshipId":"rId1"}]},{"partUri":"/media/image1.png","contentType":"image/png","content":"data:image/png;base64,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","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 917.917px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 458.958px; transform-origin: 407px 458.958px; vertical-align: baseline; "><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 60.075px 7.91667px; transform-origin: 60.075px 7.91667px; unicode-bidi: normal; "><span style="">Here's a sequence.</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 37.075px 7.91667px; transform-origin: 37.075px 7.91667px; unicode-bidi: normal; "><span style="">Tricky? Not!</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 46.6px 7.91667px; transform-origin: 46.6px 7.91667px; unicode-bidi: normal; "><span style="">You'll deduce it</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 44.3333px 7.91667px; transform-origin: 44.3333px 7.91667px; unicode-bidi: normal; "><span style="">From this plot.</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.91667px; transform-origin: 1.94167px 7.91667px; unicode-bidi: normal; "><span style=""> </span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 49px 7.91667px; transform-origin: 49px 7.91667px; unicode-bidi: normal; "><span style="">If the plot gives </span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 44.0917px 7.91667px; transform-origin: 44.0917px 7.91667px; unicode-bidi: normal; "><span style="">You the blues,</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.5667px 7.91667px; transform-origin: 64.5667px 7.91667px; unicode-bidi: normal; "><span style="">The test suite should</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0167px 7.91667px; transform-origin: 63.0167px 7.91667px; unicode-bidi: normal; "><span style="">Provide some clues.</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.91667px; transform-origin: 1.94167px 7.91667px; unicode-bidi: normal; "><span style=""> </span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 52.9167px 7.91667px; transform-origin: 52.9167px 7.91667px; unicode-bidi: normal; "><span style="">Feeling anxious?</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 41.15px 7.91667px; transform-origin: 41.15px 7.91667px; unicode-bidi: normal; "><span style="">You'll be fine.</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 52.1167px 7.91667px; transform-origin: 52.1167px 7.91667px; unicode-bidi: normal; "><span style="">The code I wrote</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 51.3417px 7.91667px; transform-origin: 51.3417px 7.91667px; unicode-bidi: normal; "><span style="">Is one short line.</span></span></div><div style="block-size: 497.917px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 248.958px; text-align: left; transform-origin: 384px 248.958px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" style="vertical-align: baseline;width: 657px;height: 492px" src="data:image/png;base64,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" data-image-state="image-loaded" width="657" height="492"></div></div></div>

Solve

Solution Stats

12 Solutions
11 Solvers

Last Solution submitted on May 13, 2022

Last 200 Solutions

Problem Comments

Problem Recent Solvers11

Problem Tags

sequence

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 51002. Deduce the pattern behind the sequence

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers11

Suggested Problems

More from this Author150

Problem Tags

Community Treasure Hunt

Problem 51002. Deduce the pattern behind the sequence

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers11

Suggested Problems

More from this Author150

Problem Tags

Community Treasure Hunt

Players