{"id":660,"date":"2018-05-24T21:23:55","date_gmt":"2018-05-24T21:23:55","guid":{"rendered":"http:\/\/tinspireapps.com\/blog\/?p=660"},"modified":"2018-05-26T00:56:49","modified_gmt":"2018-05-26T00:56:49","slug":"proof-by-induction-using-the-tinspire-cx-step-by-step","status":"publish","type":"post","link":"https:\/\/tinspireapps.com\/blog\/proof-by-induction-using-the-tinspire-cx-step-by-step\/","title":{"rendered":"\u25b7Proof by Induction using the TiNspire CX – Step by Step"},"content":{"rendered":"

Here is how to do Proof by Induction using the TiNspire CX CAS calculator – step by step.<\/p>\n

You first launch Algebra Made Easy<\/a> and select Proof by Induction for Sums in the menu.<\/p>\n

Then enter the sigma expression (thats the general formula of the terms to be added) in the top box and the sum-formula in the bottom box as shown below:<\/p>\n

\"\"<\/p>\n

In Step1 (the base case) we plug in 1 into both sides of the equation. If we get a matching answer we move on to Step 2.<\/p>\n

\"\"<\/p>\n

Now we assume that the given formula is correct for the n-th integer S(n) (really for the first n integers) and add the n+1. term to both sides of the\u00a0 equation, simplify the right side and get the expected expression for S(n+1)<\/p>\n

\"\"<\/p>\n

then proof by induction allowed is to verify the given identity. Voila!!<\/p>\n

\"\"<\/p>\n","protected":false},"excerpt":{"rendered":"

Here is how to do Proof by Induction using the TiNspire CX CAS calculator – step by step. You first launch Algebra Made Easy and select Proof by Induction for Sums in the menu. Then enter the sigma expression (thats the general formula of the terms to be added) in the top box and the … Continue reading “\u25b7Proof by Induction using the TiNspire CX – Step by Step”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11,100],"tags":[224,25],"class_list":["post-660","post","type-post","status-publish","format-standard","hentry","category-algebra","category-tinspirecx","tag-proof-by-induction","tag-tinspire"],"yoast_head":"\n\u25b7Proof by Induction using the TiNspire CX - Step by Step - www.TiNspireApps.com - Stepwise Math & Science Solutions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/tinspireapps.com\/blog\/proof-by-induction-using-the-tinspire-cx-step-by-step\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7Proof by Induction using the TiNspire CX - Step by Step - www.TiNspireApps.com - Stepwise Math & Science Solutions\" \/>\n<meta property=\"og:description\" content=\"Here is how to do Proof by Induction using the TiNspire CX CAS calculator – step by step. You first launch Algebra Made Easy and select Proof by Induction for Sums in the menu. Then enter the sigma expression (thats the general formula of the terms to be added) in the top box and the … Continue reading "\u25b7Proof by Induction using the TiNspire CX – Step by Step"\" \/>\n<meta property=\"og:url\" content=\"https:\/\/tinspireapps.com\/blog\/proof-by-induction-using-the-tinspire-cx-step-by-step\/\" \/>\n<meta property=\"og:site_name\" content=\"www.TiNspireApps.com - Stepwise Math & Science Solutions\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/TiNspireMathApps\/\" \/>\n<meta property=\"article:published_time\" content=\"2018-05-24T21:23:55+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2018-05-26T00:56:49+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/05\/05-24-2018-Image004-300x225.jpg\" \/>\n<meta name=\"author\" content=\"tinspireguru\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@TiMathApps\" \/>\n<meta name=\"twitter:site\" content=\"@TiMathApps\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"tinspireguru\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/tinspireapps.com\\\/blog\\\/proof-by-induction-using-the-tinspire-cx-step-by-step\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/tinspireapps.com\\\/blog\\\/proof-by-induction-using-the-tinspire-cx-step-by-step\\\/\"},\"author\":{\"name\":\"tinspireguru\",\"@id\":\"https:\\\/\\\/tinspireapps.com\\\/blog\\\/#\\\/schema\\\/person\\\/0f5ea3377084e1d66b529ceb30d459af\"},\"headline\":\"\u25b7Proof by Induction using the TiNspire CX – Step by Step\",\"datePublished\":\"2018-05-24T21:23:55+00:00\",\"dateModified\":\"2018-05-26T00:56:49+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/tinspireapps.com\\\/blog\\\/proof-by-induction-using-the-tinspire-cx-step-by-step\\\/\"},\"wordCount\":155,\"image\":{\"@id\":\"https:\\\/\\\/tinspireapps.com\\\/blog\\\/proof-by-induction-using-the-tinspire-cx-step-by-step\\\/#primaryimage\"},\"thumbnailUrl\":\"http:\\\/\\\/tinspireapps.com\\\/blog\\\/wp-content\\\/uploads\\\/2018\\\/05\\\/05-24-2018-Image004-300x225.jpg\",\"keywords\":[\"proof by induction\",\"tinspire\"],\"articleSection\":[\"algebra\",\"tinspirecx\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/tinspireapps.com\\\/blog\\\/proof-by-induction-using-the-tinspire-cx-step-by-step\\\/\",\"url\":\"https:\\\/\\\/tinspireapps.com\\\/blog\\\/proof-by-induction-using-the-tinspire-cx-step-by-step\\\/\",\"name\":\"\u25b7Proof by Induction using the TiNspire CX - 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