{"id":350,"date":"2012-05-06T18:01:23","date_gmt":"2012-05-06T22:01:23","guid":{"rendered":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/?p=350"},"modified":"2012-05-06T18:01:23","modified_gmt":"2012-05-06T22:01:23","slug":"math-7a-lesson-11-562012","status":"publish","type":"post","link":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/2012\/05\/06\/math-7a-lesson-11-562012\/","title":{"rendered":"Math 7A, Lesson 11, 5\/6\/2012"},"content":{"rendered":"<p>We started goemetric sequence today. A geometric sequence is defined by its first term and a common ratio. For a geometric sequence, any two consecutive numbers have the same ratio, the common ratio.<\/p>\n<p>With the first term as a and the common ratio as r, the nth term is: an = ar^(n-1).<\/p>\n<p>With this, we can proof the following properties for a geometric sequence:<\/p>\n<p>1.\u00a0\u00a0the square of nth term equals the product of (n-k)th term and (n+k)th term;<\/p>\n<p>2. if {an} and {bn} are two geometri sequences, then {anbn} and {an\/bn} are geometric sequences as well.<\/p>\n<p>We can use the given nth term formulae to solve a variety of problems about geometric sequences.<\/p>\n<p>Note, when working on sequences, it is important to make it right with the subscripts.<\/p>\n<p>Homework is as follows:<\/p>\n<p><a href=\"http:\/\/www.newtonchineseschool.org\/teachers\/wangweidong\/HomeworkGeometricSequence.pdf\" target=\"_blank\"><span style=\"font-size: small\">http:\/\/www.newtonchineseschool.org\/teachers\/wangweidong\/HomeworkGeometricSequence.pdf<\/span><\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We started goemetric sequence today. A geometric sequence is defined by its first term and a common ratio. For a geometric sequence, any two consecutive numbers have the same ratio, the common ratio. With the first term as a and the common ratio as r, the nth term is: an = ar^(n-1). With this, we [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0},"categories":[4,10,3],"tags":[],"_links":{"self":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/350"}],"collection":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/comments?post=350"}],"version-history":[{"count":2,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/350\/revisions"}],"predecessor-version":[{"id":352,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/350\/revisions\/352"}],"wp:attachment":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/media?parent=350"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/categories?post=350"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/tags?post=350"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}