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(Proof by Mathematical Induction) Let's let P(n) be the statement "1A proof by induction is a common method to prove such a property. Example: 3n-1 is a multiple of 2. Mathematical induction can be used to prove that the following statement, which we will call P(n), holds for all natural Check out us at:http://math.tutorvista.com/discrete-math/mathematical-induction.html Mathematical Annotated Example of Mathematical Induction. Proof: STEP 1: For n=1 (1.1) is true, since. MATHEMATICAL INDUCTION. EXAMPLE 1: Prove that. For example,. Prove 1 + 4 + 9 + + n2 = n (n + 1) (2n + 1) / 6 for all positive integers n. 1+2+3+ + n = n(n + 1). Mathematical induction is a technique for proving a statement -- a theorem, or a formula -- that is asserted about Jump to Example - Example. 8. Another way to write "for every positive Example: A Sum Formula. 2. Mathematical Induction is a special way of proving things. Uses worked examples to demonstrate the technique of doing an induction proof. 1 =. Proof. Theore. Mathematical induction is a special method of proof used to prove statements about all the natural numbers. Proof by mathematical induction. E(3) means in our example : ' The sum of the natural numbers from 1 to 3 equals 3(3+1)/2'. It has only 2 steps: That is how Mathematical Induction works. (1.1) for any integer n ? 1. For any positive integer n, 1 + 2 + + n = n(n+1)/2. Examples of proof by mathematical induction.
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changed March 1, 2015