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how to prove mathematical induction. If strong induction holds so does regular induction and vice-versa. In this case the simplest polygon is a triangle so if you want to use induction on the number of sides the smallest example that youll be able to look at is a polygon with three sides.
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It explains how to use mathematical induction to prove if an alge. Let us denote the proposition in question by P n where n is a positive integer. The hypothesis of Step 1 -- The statement is true for n k -- is called the induction assumption or the induction hypothesis.
Show that if any one is true then the next one is true.
In such a case the basis step begins at a starting point bwhere bis an integer. Here is a typical example of such an identity. The principle of mathematical induction is used to prove that a given proposition formula equality inequality is true for all positive integer numbers greater than or equal to some integer N. In a strong induction proof you are looking for a connection between P any value of n between the base case and k and P k 1.
