query: A Question About The First Step In Induction
positive_passages.docid: 649
positive_passages.text: Dominoes and induction, or how does induction work?
negative_passages.docid: 42105
negative_passages.text: Fibonacci proof by induction
negative_passages.docid: 76696
negative_passages.text: Using induction to prove $2^{n-1}(1 + a_1a_2\ldots a_n) \geq (1+a_1)(1+a_2)\ldots(1+a_n)$ for $a_i \geq 1$
negative_passages.docid: 154133
negative_passages.text: Flawed proof by induction that $a^{n-1}=1$
negative_passages.docid: 6113
negative_passages.text: Proof of Strong principle of Induction (T. Tao Analysis I)
negative_passages.docid: 96332
negative_passages.text: Prove by induction that $\sqrt[n+1]{n+1}<\sqrt[n]{n}$ for $n\ge 3$
negative_passages.docid: 123757
negative_passages.text: Proving a summation inequality with induction
negative_passages.docid: 61117
negative_passages.text: Prove by induction: $n! \ge 2^{(n-1)}$ for any $n \ge 1$
negative_passages.docid: 2197
negative_passages.text: Induction principle for $n!<n^n$
negative_passages.docid: 13291
negative_passages.text: Proving $\sum_{k=1}^n\frac1{\sqrt k}<2\sqrt n$ by induction
negative_passages.docid: 50956
negative_passages.text: Double induction - another method?
negative_passages.docid: 19129
negative_passages.text: mathematical induction proof of a square vs factorial
negative_passages.docid: 77300
negative_passages.text: Induction and electromagnetic fields
negative_passages.docid: 145388
negative_passages.text: Structural Induction: Metalogic Proof
negative_passages.docid: 78583
negative_passages.text: Help with proof using induction: $1 + \frac{1}{4} + \frac{1}{9}+\cdots+\frac{1}{n^2}\leq 2-\frac{1}{n}$
negative_passages.docid: 57780
negative_passages.text: $\sum_{i=1}^n i\cdot i! = (n+1)!-1$ By Induction
negative_passages.docid: 72371
negative_passages.text: Proof of Strong Induction Using Well-Ordering Principle