induction proof on bezout's identity $d=ax+by$
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Inductive proof of gcd Bezout identity (from Apostol: Math, Analysis 2ed)
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Proof by Induction for inequality, $\sum_{k=1}^nk^{-2}\lt2-(1/n)$
79652
Proof by induction that $2 + 4 + 6 + \cdots + 2n = n(n+1)$
17714
Proof $\sum_{k=1}^n (-1)^{k+1} \binom{n}{k}\frac{1}{k} = H_n$ by induction
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Induction proof of $\sum_{k=1}^{n} \binom n k = 2^n -1 $
92046
Proving $\sum\limits_{i=0}^n  i 2^{i-1} = (n+1) 2^n - 1$ by induction
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Prove by induction: $\sin{x}+\sin{3x}+\dots+\sin{(2n-1)x}=\frac{\sin^2{nx}}{\sin{x}}$
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Induction Proof that $x^n-y^n=(x-y)(x^{n-1}+x^{n-2}y+\ldots+xy^{n-2}+y^{n-1})$
48394
Proving bessel identity $[J_0(x)]^2 + 2[J_1(x)]^2 + 2[J_2(x)]^2 + \cdots = 1$ and $|J_0(x)|\le 1$
51877
Why is this 'Proof' by induction not valid?
18158
Inductive Proof for Vandermonde's Identity?
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Proof By Induction of a Sum
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Proving this $F_{n+1} \cdot F_{n-1} - F^2_n = (-1)^n$ by induction
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I'm having trouble with a proof by induction
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Prove by induction that $\sum_{i=1}^{n} i \cdot 2^i = (n-1) \cdot 2^{n+1} +2$. Help finding my mistake
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Prove the following equality using mathematical induction:
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Proving with induction $(1-x)^n<\frac 1 {1+nx}$