Proof by induction of the formula for $2^0+2^1+2^2+...+2^n$?
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Proving the geometric sum formula by induction
151646
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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Proving $n! \ge 2^{n-1 }$for all $n\ge1 $by mathematical Induction
11642
Proving by induction that $2^n \le 2^{n+1}-2^{n-1} - 1$ . Does my proof make sense?
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Proof of $(a+b)^{n+1}$
153123
Proving by induction $4^n  0$
85731
Prove by induction that $n! > n^2$
26912
Prove by induction that for all $n \geq 3$: $n^{n+1} > (n+1)^n$
52206
How to prove with double counting technique that $1+2+\dots+2^n=2^{n+1} -1$?
119436
Proving $2^n\leq 2^{n+1}-2^{n-1}-1$ for all $n\geq 1$ by induction
72026
Induction proof of $\sum_{k=1}^{n} \binom n k = 2^n -1 $
16524
Proof of an inequality by induction: $(1 + x_1)(1 + x_2)...(1 + x_n) \ge 1 + x_1 + x_2 + ... + x_n$
16177
Proof by Induction: $\sum_0^nx^i=(1-x^{n+1})/(1-x)$
76696
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 $a_i \geq 1$
38995
Induction proof that $\sum_{j=n}^{2n-1} (2j + 1) = 3n^2$ - what happened?
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proof using the mathematical induction
48333
Prove by induction that $(x+1)^n - nx - 1$ is divisible by $x^2$