Mathematical+Induction

__**Lesson 1 - Proving a Formula for the Sum of a Series **__ Watch this video for some information about mathematical induction. media type="youtube" key="JRRMjaarOx4?rel=0" height="360" width="640" align="center"
 * __Mathematical Induction __** Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true of all positive integers. It is done by proving that the first statement in the infinite sequence of statements is true, and then proving that if any one statement in the infinite series is true, then so is the next one. Mathematical induction can be informally referenced by the sequential effect of falling dominoes.

Open this file and save it to your laptop for the notes on today's lesson.  Watch this tutorial from MathsOnline for more information. Proving Results Involving Series I __**Lesson 2 - Proving Divisibility **__ Watch this MathsOnline video for examples on the previous lesson's work. Proving Results Involving Series II Open this file and save it to your laptop for the notes on today's lesson.

Watch this MathsOnline video for more examples. Proving Divisibility __**Lesson 3 - Proving Inequalities **__ Watch this tutorial on mathematical induction. media type="youtube" key="05ZHmKZAUSk?rel=0" height="360" width="480" align="center"

<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Open this file and save it to your laptop for the notes on today's lesson.

<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Watch this MathsOnline video for some more examples. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Proving Results Involving Inequations