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how to use the principle of mathematical induction. P k P k 1 P k P k 1 If you can do that you have used mathematical induction to prove that the property P P is true for any element and therefore every element in the infinite set. The technique involves two steps to prove a statement as stated below Step 1 Base step It proves that a statement is true for the initial value.
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The next step in mathematical induction is to go to the next element after k k and show that to be true too. Let us now try to establish that P k1 is also true. Show it is true for first case usually n1.
There is however a difference in the inductive hypothesis.
The technique involves three steps to prove a statement P n as stated below. The principle of mathematical induction T HE NATURAL NUMBERS are the counting numbers. P k P 1P 2P k are true to prove. 1 1 2 X 1 therefore is true.
