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所在平台: Udemy |
课程主页: https://www.udemy.com/course/learn-grade-12-mathematics-now-part-ii/
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**课程名称：** 现在学习12年级数学（第二部分） **课程概述：** 本课程将全面讲解算术级数（等差数列）的相关概念，使您能够熟练解决基于该主题的各类问题。课程内容涵盖： * **基本概念：** 学习如何使用符号表示数列的首项，以及理解公差的概念。您将认识到线性数形模式（等差数列）的本质，以及线性数形模式中的“常数首项差”在等差数列中即为“公差”。 * **数列的通项公式：** 学习简洁地表示数列的“n项”或“末项”（l）。 * **求和方法：** 学习使用sigma（Σ）符号来简洁地表示数列项的和。 * **公式推导：** 课程将包含以下重要公式的推导过程： 1. 数列前n项和公式 2. 从i=1到i=n的常数1的和公式 3. 从i=1到i=n的k（常数）的和公式 通过学习，您将掌握算术级数的基础知识，并能解决包括基本应用题和更高级的应用题。
You will learn all concepts relevant to arithmetic series and, hence, will be able to solve questions based on this topic. These concepts relate to the n-th term, arithmetic mean, the sum to n terms, basic applications based on the n-th term and the sum to n terms. Finally, you will be able to solve more advanced applications based on all concepts taught in this course. You will be taught the notation used to denote the first term and the concept of the common difference. At this stage, you will see that linear number patterns are simply arithmetic series. Note that in linear number patterns you learnt the concept of the constant first difference. In arithmetic series this is simply called the common difference.You will learn a concise way of denoting the n-th term, i.e., the n-th term is simply the last term of the arithmetic series which will be denoted by the letter "l". You will also be taught the sigma notation which is a concise way of indicating that you'd like to add up terms.The course will also include derivations of a a few formulae. These are as follows: 1. The formula for the sum to n-terms;2. The formula for the sum of 1 for i ranging from i=1 to i=n;3. The formula for the sum of i for i ranging from i=1 to i=n.
