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what is mathematical induction with example. Mathematical induction proves that we can climb as high as we like on a ladder by proving that we can climb onto the bottom rung the basis. Let F be the class of integers for which equation 1 holds.
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Write the statement to be proved as P n where n is the variable in the statement and P is the statement itself. Let F be the class of integers for which equation 1 holds. 1 1n 2 n 12n.
Then the integer 1 belongs to F since 1 1 2.
What is an excellent mathematical induction example. Show it is true for first case usually n1. Example if we are to prove that 1234nn n12 we say let P n be 1234nn n12. The principle of mathematical induction states that a statement P n is true for all positive integers n I N i if it is true for n 1 that is P 1 is true and ii if P k is true implies P k 1 is true.
