課程編號: CMS6B02

Arithmetic and Geometric Sequences

等差及等比數列

(8堂視像授課+8堂視像操練課+2個小測試)

課程特點

每堂視像授課為70分鐘，每堂視像操練課為大約45分鐘。

1. 教授等差及等比數列，操練DSE等差及等比數列的技巧，拆解等差及等比數列的MCQ及結構式問題，協助同學全取DSE 等差及等比數列的分數。

Lesson 1-Lesson 4 第一堂-第四堂

Arithmetic and Geometric Sequences 等差及等比數列

(1) Arithmetic Sequences 等差數列

1. Concept of Arithmetic Sequences 等差數列的概念

   – General Term of Arithmetic Sequences 等差數列的通項

   – Proof of Arithmetic Sequences 等差數列的證明

2. Properties of Arithmetic Sequences 等差數列的性質

   – Relations between Arithmetic Sequences 等差數列之間的關係

   – Three consecutive terms of an Arithmetic Sequence 等差數列的三個連續項

   – More Relations between terms of an Arithmetic Sequence 等差數列的項之間的關係

3. Applications of Arithmetic Sequences 等差數列的應用

(2) Geometric Sequences 等比數列

1. Concept of Geometric Sequences 等比數列的概念

   – General Term of Geometric Sequences 等比數列的通項

   – Proof of Geometric Sequences 等比數列的證明

2. Properties of Geometric Sequences 等比數列的性質

   – Relations between Geometric Sequences 等比數列之間的關係

   – Three consecutive terms of a Geometric Sequences 等比數列的三個連續項

   – More Relations between terms of an Geometric Sequence 等比數列的項之間的關係

3. Applications of Geometric Sequences 等比數列的應用

(3) Structural problems 結構式問題

Lesson 5-Lesson 8 第五堂-第八堂

Summation of Arithmetic and Geometric Sequences

等差及等比數列的求和法

(1) Summation of Arithmetic Sequences 等差數列的求和法

1. Summation Formula of Arithmetic Sequences 等差數列的求和公式

(2) Summation of Geometric Sequences 等比數列的求和法

1. Sum of First n Terms of a Geometric Sequences 等比數列的首 n 項之和

2. Sum to Infinity of a Geometric Sequences 等比數列的無限項之和

(3) Applications of Summation of Arithmetic and Geometric Sequences 等差及等比數列的求和法的應用

(4) Structural problems 結構式問題

(結構式問題為針對HKDSE常見及較難題型而設，協助同學提升解題技巧及能力，全取DSE 等差及等比數列的分數。)

學習流程

1 觀看視像授課影片 2 完成課後練習 3 觀看解題影片 4 完成小測試