HSC Together Year 12 Maths Extension 1: Mathematical Induction

#### Maths Extension 1

• Proof
• Vectors
• Further Trigonometric Functions
• Further Calculus
• Further Statistical Analysis
• Back to other subjects
Back to other subjects

# Mathematical Induction

This is part of the HSC Mathematics Extension 1 course under the topic Proof by Mathematical Induction.

In this post, we will explore mathematical induction by understanding the nature of inductive proof, including the ‘initial statement’ and the 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.

### 45,861 students have a head start...

Get exclusive HSC content & advice from our team of experts delivered weekly to your inbox!

## Here’s how we help...

### Holistic K-12 Tutoring

Attend our master-class workshops on how to ace your essays, assessments and exams!

### Comprehensive Workshops

Attend our master-class workshops on how to ace your essays, assessments and exams!

### Study, Uni, Career Mentoring

Attend our master-class workshops on how to ace your essays, assessments and exams!

### Senior School Workshops

Attend our master-class workshops on how to ace your essays, assessments and exams!

## 45,861 students have a head start...

Get exclusive study content & advice from our team of experts delivered weekly to your inbox!