For math induction, first, show your equation is true for the case n = 1 by substituting in one. Next, we write an assumption that the statement is also true for the kth term and replace all n's with k's. Third, we show that the statement is true for the "k + 1"th term, which means adding one more term, rewriting all of your k's with "k+1's" , and the simplifying. Finally, showing that the statement is true for "k + 1 " terms is sufficient to prove that it is true for all values of n.
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