The inductive step is a critical component of mathematical induction, where one assumes that a statement is true for a particular case, typically denoted as 'n = k', and then proves that this assumption leads to the truth of the statement for the next case, 'n = k + 1'. This step bridges the gap between an assumed case and the subsequent one, establishing a domino effect of truth across all integers that follow the base case. It is essential in demonstrating that if the statement holds for one integer, it must hold for all larger integers as well.
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