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Series

Series Notation
Introduction to Series
Preview
Writing a Series Using Sigma Notation
Properties of Sigma Notation
Standard Summation Formulae 1
Standard Summation Formulae 2
Standard Summation Formulae 3
Standard Summation Formulae - Factorised Form 1
Standard Summation Formulae - Factorised Form 2
Method of Differences
Introduction to Method of Differences
Method of Differences and Partial Fractions
Method of Differences and the Sum to Infinity
Method of Differences and a Partial Sum
Arithmetic Progressions
Introduction to Arithmetic Progressions
Finding the Common DIfference
Proof Involving the Sum of an Arithmetic Progression
Finding an Unknown Term
Proof Involving the Sum of an Arithmetic Progression
Sum of an Arithmetic Progression 1
Sum of an Arithmetic Progression 2
Geometric Progression
Introduction to Geometric Progressions
Proving a Geometric Progression
Finding an Unknown Term
A Real World Problem
Proof Involving the Sum of a Geometric Progression
Using the Sum Formula For a Geometric Progression
Introduction to the Sum to Infinity
Problem Involving the Sum to Infinity
Problem Involving Logarithms
Convergence of a Geometric Progression
Maclaurin's Series
Derivation of MaClaurin's Series Expansion
MaClaurin's Series Expansion of cos(x)
MaClaurin's Series Expansion of tan(x)
MaClaurin's Series Expansion of an Exponential Function
MaClaurin's Series Expansion of a Rational Expression
MaClaurin's Series Expansion of a Logarithmic Function
Taylor's Series
Derivation of Taylor's Series Expansion
Taylor's Series Expansion Involving Logarithms
Taylor's Series Expansion Involving a Rational Function
Taylor's Series Expansion Involving Trigonometry

Method of Differences and Partial Fractions

Series Method of Differences
By: Sean Hunte
5 minutes
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