5. Sequences & Series

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5.01 Introducing Inductive Definitions and Recurrence Relations

5.02 An Example of Finding the First Five Terms of an Inductive Definition

5.03 A Problem involving an Inductive Definition

5.04 Finding the Limit of an Inductive Definition

5.05 What it means for a Sequence to Converge, Diverge, be Periodic or Oscillate

5.06 Introducing Arithmetic Sequences

5.07 Finding the nth term of an Arithmetic Sequence

5.08 Finding the 1500th term of an Arithmetic Sequence

5.09 Finding How Many Terms are in an Arithmetic Sequence

5.10 From an Inductive Definition to an Arithmetic Sequence Problem

5.11 Introducing Sigma Notation

5.12 Writing a Sum using Sigma Notation

5.13 Introducing Arithmetic Series

5.14 Finding the Sum of an Arithmetic Series Example 1

5.15 Finding the Sum of an Arithmetic Series Example 2

5.16 Finding the Sum of an Arithmetic Series Example 3

5.17 Sigma Notation and Arithmetic Series

5.18 Arithmetic Sequences and Series: Words to Algebra

5.19 Arithmetic: 3rd term is 10, 25th term is 142

5.20 Arithmetic: 4th term is -5, Sum of the first 40 terms is 130

5.21 Introducing Geometric Sequences

5.22 Finding the First Five Terms of a Geometric Sequence

5.23 Finding the nth term of a Geometric Sequence

5.24 Geometric Sequences: How to find the Common Ratio r

5.25 Introducing Geometric Series

5.26 Finding the Sum of a Geometric Series

5.27 Geometric Series with Sigma Notation

5.28 Introducing the Sum to Infinity

5.29 An Example of Finding the Sum to Infinity

5.30 Geometric Sequences and Series: Words to Algebra

5.31 Geometric: 3rd term is 45, 8th term is 10935

5.32 Geometric: Sum of u1 and u2, Sum of u4 and u5

5.33 Geometric: 2nd term is -4, Sum to infinity is 9

5.34 A Geometric Sequence Problem using Logarithms Example 1

5.35 A Geometric Sequence Problem using Logarithms Example 2