Science:Math Exam Resources/Courses/MATH220/December 2009/Question 01 (f)
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Question 01 (f) |
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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 |
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Mathematical Induction is a cornerstone topic for this course. If you're not sure about this one re-read your notes. |
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.
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Solution |
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Found a typo? Is this solution unclear? Let us know here.
Please rate my easiness! It's quick and helps everyone guide their studies. Let be a proposition for any natural number n. If one can show that (i) is true and (ii) true implies that is true for any natural number n. then it follows that that is true for all natural numbers n by the Principle of Mathematical Induction. |