Problem 46873. Sum of terms in a series 2 (★★★)

Created by Anirban Pal

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>Given x and n, compute the following sum:</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=\"18\"/><w:attr w:name=\"width\" w:val=\"294\"/><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:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Thus, if x = 0.1 and n = 5, then the sum is (up to n = 5 terms)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[0.1+2*(0.01)+3*(0.001)+4*(0.0001)+5*(0.00001)\n= 0.12345]]></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>Avoid using for/while loops.</w:t></w:r></w:p></w:body></w:document>","relationship":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","target":"/media/image1.gif","relationshipId":"rId1"}]},{"partUri":"/media/image1.gif","contentType":"image/gif","content":"data:image/gif;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: 165.367px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 82.6833px; transform-origin: 407px 82.6833px; 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: 132.5px 8px; transform-origin: 132.5px 8px; unicode-bidi: normal; "><span style="">Given x and n, compute the following sum:</span></span></div><div style="block-size: 23.5px; 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 11.75px; text-align: left; transform-origin: 384px 11.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" style="vertical-align: baseline;width: 294px;height: 18px" src="data:image/gif;base64,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" data-image-state="image-loaded" width="294" height="18"></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: 191px 8px; transform-origin: 191px 8px; unicode-bidi: normal; "><span style="">Thus, if x = 0.1 and n = 5, then the sum is (up to n = 5 terms)</span></span></div><div style="background-color: rgb(247, 247, 247); block-size: 40.8667px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 20.4333px; transform-origin: 404px 20.4333px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; "><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 180px 8.5px; transform-origin: 180px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">0.1+2*(0.01)+3*(0.001)+4*(0.0001)+5*(0.00001)</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 36px 8.5px; transform-origin: 36px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">= 0.12345</span></span></div></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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: 85.5px 8px; transform-origin: 85.5px 8px; unicode-bidi: normal; "><span style="">Avoid using for/while loops.</span></span></div></div></div>

Solve

Solution Stats

85 Solutions
31 Solvers

Last Solution submitted on Oct 27, 2022

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

Rafael S.T. Vieira on 18 Oct 2020

Please, do not use isqual with floats, instead use abs(x1-x2) < 1e-10 for instance. A number like 0.1 is infinite and periodic in base 2.

goc3 on 27 Oct 2020

The test suite is updated to use a tolerance check.

Problem Recent Solvers31

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 46873. Sum of terms in a series 2 (★★★)

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers31

Suggested Problems

More from this Author52

Problem Tags

Community Treasure Hunt

Problem 46873. Sum of terms in a series 2 (★★★)

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers31

Suggested Problems

More from this Author52

Problem Tags

Community Treasure Hunt

Players