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You are here: Home / Category Index / Sequences And Series
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Sequences And Series
Factorials - By Michael Tiarnaigh
This Applet At The Moment Is Based On The Principle Using Java To Display Animation.although I Have Not Fully Made It Interactive With The User Yet, I Hope To Achieve This Over The Next Few Days.the Applet At The Moment Gives A Sort Of "slide Show" To The User, Displaying The Fundamental Concepts Of Factorials In Sequences And Series. [View Applet]
Geometric Sequences - By David Lynch
The Applet Requires The User To Use General Terms Of Geometric Sequences To Calculate The Actual Sequences. It Does This Through The Use Of A Game Described Belows [View Applet]
Arithmetic Sequences And Series - By Catherine Magoye
A Game To Create Your Own Arithmetic Sequence And Check If It Is A Valid Arithmetic Sequence. [View Applet]
Telescoping Series (scarification!) - By Aidan Lynch
This Section Of The Website Will Cover The Telescoping Series Section Of The Leaving Cert.
Solving These Problems Involves Finding The Sum To N Terms Of A Combined Fraction. This Is
Done By First Splitting The Fraction Into Two Parts And Then Substituting Values Into The
Fraction. Values Are Substituted In For Term One, Term Two, Term Three, Etc. Then The Sum Of
All These Terms Is Calculated. As You Will See Many Of These Terms "cancel Out" With Each
Other, Making The Sum Easy To Calculate. [View Applet]
Arithmetico-geometric Series: - By Mark Mc Donnell
An Arithmetico-geometric Series Is A Combination Of Arithmetic And Geometric Series. [View Applet]
Pascal's Triangle And The Binomial Theorem - By Conor Mc Dermottroe
This Applet Demonstrates The Making Of Pascal's Triangle And The Calculation Of A Binomial Expansion. [View Applet]
Limits Of Sequences - By Philip Mangan
This Applet Uses A Polygon Inscribed In A Circle To Demonstrate The Concept Of Sequences Approaching Their Limits. [View Applet]
Exponential Series - By Paul Clancy
My Applet Covers The Area Of Sequences And Series Under In The Area Of Exponential Series. It Contains The Necessary Theory Used To Derive The Exponential Series And Allows Thw User To Graph Exponential Functions. The Coefficients Of The Function Y = Ae^bx Can Be Entered And Graphed. The X Domain Can Also Be Altered To The User's Preference. [View Applet]
Proof By Induction - By Marc O Morain
An Applet That Uses Dominos As An Abstract Example To Illustrate The Theory Behind Proof By Induction. [View Applet]
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