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10_2016___2017_H2_Maths_AP_GP_Notes__LMS

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10_2016___2017_H2_Maths_AP_GP_Notes__LMS Key Questions to Answer: 1. What is a progression? - What is the difference between a progression and a series? 2. What is an arithmetic progression? - Wha ... t is the formula for the nth term of an arithmetic progression? - How do you show that a sequence follows an arithmetic progression? 3. What is a geometric progression? - What is the formula for the nth term of a geometric progression? - How do you show that a sequence follows a geometric progression? 4. What is/are the difference(s) between an arithmetic progression and a geometric progression? 5. What is an arithmetic series? - What is the formula for the sum to n terms of an arithmetic series? - Does the sum to infinity of an arithmetic series exist? If it exists, what are the conditions for it to exist? 6. What is a geometric series? - What is the formula for the sum to n terms of a geometric series? - Does the sum to infinity of a geometric series exist? If it exists, what are the conditions for it to exist? 7. What is/are the difference(s) between an arithmetic series and a geometric series? 8. What are some useful strategies used to solve practical problems involving arithmetic and/or geometric series? §1 Introduction Example 1.1 Consider the sequences listed below and answer the following questions. 3, 5, 7, 9, 11, 13, … 1, 2, 4, 8, 16, 32, … 2, 0, –2, –4, –6, –8, … 1, 1, 2, 3, 5, 8, … 12, 22, 32, 42, 52, 62, … Arithmetic and Geometric Series Page 1 of 23 [Show More]

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