WebThis is usually the easy part of an induction proof. Here, this is just X1 k=1 k2 = 12 = 1(1+1)(2·1+1) 6 = 1·2·3 6 = 1. Step 2. (Induction step) Suppose it’s true for n−1, and then show it’s true for n. For this part, you usually need to do some algebraic manipulation. First we write down the expression for the sum of n consecutive ... WebFeb 9, 2024 · 2 Proof by Induction. 2.1 Basis for the Induction; 2.2 Induction Hypothesis; 2.3 Induction Step; 3 Proof by Products of Consecutive Integers; 4 Proof by Telescoping Series; 5 Proof by Summation of Summations; 6 Proof by Sum of Differences of Cubes; 7 Proof by Binomial Coefficients; 8 Proof using Bernoulli Numbers; 9 Also presented as; 10 Also ...
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