QCE Together Year 12 Specialist Maths: QCE Mathematical Induction

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QCE Mathematical Induction

This is part of the QCE Specialist Maths course under Unit 3: Mathematical induction, and further vectors, matrices and complex numbers.

In this post we look at Topic 1: Proof by mathematical induction and we will cover how to understand the nature of inductive proof including the ‘initial statement’ and inductive step.

Mathematical induction is used as a general method to see if proofs or equations are true for a set of numbers in a quick way.

Mathematical induction has the following steps:

  • State any assumptions
  • Prove the equation true for k=1 (or whatever the starting number is)
  • Prove true for k+1
  • Finally, prove true all integers in the set.
  • A concluding statement stating if the proof was true or not.

 

Introduction to Mathematical Induction

 

 

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