Home » Blog » Express the decimal x = 2.02020202… as the quotient of two integers Express the decimal x = 2.02020202… as the quotient of two integers by RoRi February 29, 2016 Let Express as an infinite series, find the sum, and express as a quotient of two integers. We have Related
October 24, 2023 at 2:28 pm Anonymous says: You forgot to subtract 2 when changing the series iterator, the correct procedure is below: *** QuickLaTeX cannot compile formula: \[x = 2.0202...\] *** Error message: Cannot connect to QuickLaTeX server: cURL error 60: SSL certificate problem: unable to get local issuer certificate Please make sure your server/PHP settings allow HTTP requests to external resources ("allow_url_fopen", etc.) These links might help in finding solution: http://wordpress.org/extend/plugins/core-control/ http://wordpress.org/support/topic/an-unexpected-http-error-occurred-during-the-api-request-on-wordpress-3?replies=37 *** QuickLaTeX cannot compile formula: \[x = 2 + \sum_{k=1}^{\infty}{\frac{2}{100^k}} = 2 + 2\sum_{k=0}^{\infty}{\left(\frac{1}{100}\right)^k} - 2 = 2\left(\frac{1}{1-1/100}\right) = \frac{200}{99}\] *** Error message: Cannot connect to QuickLaTeX server: cURL error 60: SSL certificate problem: unable to get local issuer certificate Please make sure your server/PHP settings allow HTTP requests to external resources ("allow_url_fopen", etc.) These links might help in finding solution: http://wordpress.org/extend/plugins/core-control/ http://wordpress.org/support/topic/an-unexpected-http-error-occurred-during-the-api-request-on-wordpress-3?replies=37
You forgot to subtract 2 when changing the series iterator, the correct procedure is below: