Science:Math Exam Resources/Courses/MATH220/April 2011/Question 01 (i)
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Question 01 (i) 

State the principle of mathematical induction. 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

Mathematical induction involves wanting to prove statements over all natural numbers. How do we do this? 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. To prove a statement is true for all natural numbers , we use mathematical induction which states the following: 1. Prove that is true 2. Assume that is true 2. Prove that is true (likely using information about being true). Upon doing this, mathematical induction states that the statement is true for all natural numbers . 