(1)We will call a sequence an arithmetic sequence if there is a common difference意思是我们称一个有相等差别的数列为算术数列,其实说白了就是我们的等差数列如1,3,5,7,9.(2)A Geometric Sequence is a sequence which the ratio of the common terms is equal.The general term isan = a1 * r^...
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Arithmetic Sequence Suppose that a, b and c is an arithmetic sequence, and a>b>c, then a-b=b-c. They have a common difference, and let the common difference be x, then x=a-b=b-c. For example, 1, 2 and 3 is an arithmetic sequence, and their common difference is 2-1 as wel...
(1)We will call a sequence an arithmetic sequence if there is a common difference意思是我们称一个有相等差别的数列为算术数列,其实说白了就是我们的等差数列如1,3,5,7,9.(2)A Geometric Sequence is a sequence which the ratio of the common terms is equal.The general term is an = a1 * r...
本文主要介绍等比数列的基本知识,包括等比数列通项公式、等比数列求和以及等比数列的例题。 一、 等比数列定义 数列是一列有顺序的数,其中国际高中要掌握的是两类数列,等差数列(Arithmetic Sequences)和等比数列(Geometric Sequences)。而本文介绍的是等比数列: 定义:对于数列 {un} 从第二项起,后一项比前一项的商 ...
解析 The sequence is not geometric or arithmetic because there is no common difference or common ratio between each term. Not a Geometric or Arithmetic Sequence The series given is not geometric. Therefore, the infinite sum cannot be calculated. No solution...
Arithmetic or Geometric sequenceArithmetic sequenceA sequence of numbers in which the difference between two successive numbers is always constant and this constant difference is known as the common difference (d). The common difference d=a2−a1=a3−a2=a4−...
which is greater than or equal to 0. Therefore, A.M ≥ G.M Arithmetic Geometric Sequence Example Example 1: Insert 3 numbers between 4 and 64 so that the resulting sequence forms a G.P. Solution: Let G1,G2,G3 be the three numbers to be inserted between 4 and 64, r=(ba)1n...
sequence, series, arithmetic sequence, arithmetic series, infinite series, geometric sequence, geometric series (AII.2) Student/Teacher Actions (what students and teachers should be doing to facilitate learning) D AYS 1 AND 2 1. Teach the basics of arithmetic and geometric sequences and series, ...
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