ARITHMETIC AND GEOMETRIK SEQUENCES
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ARITHMETIC AND GEOMETRIK SEQUENCES
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Entries
48
1. Real Number Sequences
Theory
Page 10
Sequences
Theory
Page 11
Definition
Theory
Page 11
Criteria for the Existence of a Sequence
Theory
Page 13
Types of Sequence
Theory
Page 14
Finite and Infinite Sequences
Theory
Page 14
Monotone Sequences
Theory
Page 15
Piecewise Sequences
Theory
Page 17
Recursively Defined Sequences
Theory
Page 18
The Fibonacci Sequence and the Golden Ratio
Theory
Page 20
Exercises 1
Problem
Page 24
Polygonal Numbers
Problem
Page 26
2. Arithmetic Sequences
Theory
Page 27
Arithmetic Sequences
Theory
Page 27
Definition
Theory
Page 27
General Term
Theory
Page 28
Advanced General Term Formula
Theory
Page 30
Middle Term Formula (Arithmetic Mean)
Theory
Page 33
Sum of the Terms of an Arithmetic Sequence
Theory
Page 35
Sum of the First n Terms
Theory
Page 35
Applied Problems
Problem
Page 39
Exercises 2
Problem
Page 44
Magic Squares
Problem
Page 48
3. Geometric Sequences
Theory
Page 50
Geometric Sequences
Theory
Page 50
Definition
Theory
Page 50
General Term
Theory
Page 51
Advanced General Term Formula
Theory
Page 53
Common Ratio Formula
Theory
Page 54
Middle Term Formula (Geometric Mean)
Theory
Page 55
Sum of the Terms of a Geometric Sequence
Theory
Page 59
Sum of the First n Terms
Theory
Page 59
Applied Problems
Problem
Page 63
Infinite Sum of a Geometric Sequence (Optional)
Theory
Page 65
Infinite Sum Formula
Theory
Page 65
Repeating Decimals
Theory
Page 66
Equations with Infinitely Many Terms
Theory
Page 67
Applied Problems
Problem
Page 69
The Sierpinski Pyramid
Problem
Page 70
Exercises 3
Problem
Page 71
The Koch Snowflake
Problem
Page 74
Chapter Summary
Theory
Page 76
Concept Check
Test
Page 77
Chapter Review Test 1
Test
Page 78
Chapter Review Test 2
Test
Page 80
Chapter Review Test 3
Test
Page 82
Answers
Answer
Page 84
Glossary
Other
Page 86
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