{"id":4555,"date":"2012-10-25T02:06:08","date_gmt":"2012-10-25T02:06:08","guid":{"rendered":"http:\/\/SchoolTutoring.com\/help\/?p=4555"},"modified":"2014-12-02T08:31:58","modified_gmt":"2014-12-02T08:31:58","slug":"processes-and-formulae-iterative-recursive-explicit","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/help\/processes-and-formulae-iterative-recursive-explicit\/","title":{"rendered":"Processes and Formulae: Iterative, Recursive, Explicit"},"content":{"rendered":"<h4><strong>Iterative process:<\/strong><\/h4>\n<p>This is a process which involves a formula for a list of values. Here, this process begins with a starting value and which when substituted into the formula gives the next value. Again this result is substituted into the same formula to get the next consequent values in the series.<\/p>\n<p><em>Factor trees<\/em> and <em>Newton\u2019s<\/em> <em>method<\/em> are the examples of iterative process.<\/p>\n<h4><strong>Recursive formula:<\/strong><\/h4>\n<p>Recursion is an iterative process where the initial value is given and gives the following or next term by applying the same process repeatedly. While finding a particular value in a series using the process of recursion, the immediate previous value should be known.<\/p>\n<p>A recursion formula includes two things.<\/p>\n<p>(1)\u00a0\u00a0\u00a0 The initial value which is usually represented by a<sub>1<\/sub>.<\/p>\n<p>(2)\u00a0\u00a0\u00a0 The recursion formula for in which is in terms of the previous term a<sub>n-1<\/sub>.<\/p>\n<p><a href=\"https:\/\/SchoolTutoring.com\/wp-content\/uploads\/sites\/2\/2012\/10\/recursion1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4556\" title=\"recursion1\" src=\"https:\/\/SchoolTutoring.com\/wp-content\/uploads\/sites\/2\/2012\/10\/recursion1.jpg\" alt=\"\" width=\"382\" height=\"126\" srcset=\"https:\/\/schooltutoring.com\/help\/wp-content\/uploads\/sites\/2\/2012\/10\/recursion1.jpg 382w, https:\/\/schooltutoring.com\/help\/wp-content\/uploads\/sites\/2\/2012\/10\/recursion1-300x98.jpg 300w\" sizes=\"auto, (max-width: 382px) 100vw, 382px\" \/><\/a><\/p>\n<h4><strong>Explicit formula:<\/strong><\/h4>\n<p>Explicit formula is a formula which allows us to compute the values of a sequence directly. \u00a0Explicit formula is an application of the recursive formula but it is most useful than the recursive formula.<\/p>\n<p><a href=\"https:\/\/SchoolTutoring.com\/wp-content\/uploads\/sites\/2\/2012\/10\/recursion2.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4557\" title=\"recursion2\" src=\"https:\/\/SchoolTutoring.com\/wp-content\/uploads\/sites\/2\/2012\/10\/recursion2.jpg\" alt=\"\" width=\"252\" height=\"64\" \/><\/a><\/p>\n<p>Do you also need help with Geography? Take a look at our <a href=\"https:\/\/schooltutoring.com\/tutoring-programs\/private-tutoring\/\">Geography tutoring services.<\/a> <\/p>\n<p><span class=\"tutorOrange\">SchoolTutoring Academy<\/span> is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college. To learn more about how we help parents and students in California visit: <a href=\"https:\/\/schooltutoring.com\/California-Tutoring-Programs\/\">Tutoring in California. <\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Iterative process: This is a process which involves a formula for a list of values. Here, this process begins with a starting value and which when substituted into the formula gives the next value. Again this result is substituted into the same formula to get the next consequent values in the series. Factor trees and [&hellip;]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[2],"tags":[628,683,996,1507,1528,1612],"class_list":["post-4555","post","type-post","status-publish","format-standard","hentry","category-algebra","tag-explicit","tag-formula","tag-iterative-process","tag-recursive","tag-repeated","tag-sequence"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/4555","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=4555"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/4555\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=4555"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=4555"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=4555"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}