Answer to Question #7147 in Algebra for amirreza

Question

my teacher told me that the principle of math induction is violated and it's not completely ture, I can't believe that, please help me.

Answer 1

Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true of all natural numbers (positive integers). It is done by proving that the first statement in the infinite sequence of statements is true, and then proving that if any one statement in the infinite sequence of statements is true, then so is the next one. So, if correctly provided, it always brings you right results.