List questions from induction

Published on 02 Apr 2026 - 16:18

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Prime Factorization and Induction

Published on 16 Apr 2026 - 22:37

519

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Square of a sum equals sum of cubes

Published on 13 Apr 2026 - 12:48

240

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Is it possible to prove by induction that $1+\frac{1}{2^2}+\frac{1}{3^2}+\dots+\frac{1}{n^2}<2\space\space \forall n\geqslant 1?$

Published on 15 Apr 2026 - 20:04

56

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Prove by induction that $\sum_{i=1}^n i \geq \frac{n^2}{2}$

Published on 14 Apr 2026 - 19:30

135

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Binomial Theorem proof using Cauchy Induction

Published on 02 Apr 2026 - 21:45

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$(|x_1|+|x_2|+...+|x_n|)$ vs $\sqrt{(|x_1|^2+|x_2|^2+...+|x_n|^2)}$, which is larger and why?

Published on 16 Apr 2026 - 15:30

65

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Prove: $n\in\mathbb{N}$ is not divisible by $2^n-1$ if $n>1$

Published on 16 Apr 2026 - 15:59

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Structual induction on mirror(mirror t) = t

Published on 31 Mar 2026 - 10:06

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prove that $n(n+1)$ is even using induction

Published on 15 Apr 2026 - 2:44

280

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On a generalization for $\sum_{d|n}rad(d)\phi(\frac{n}{d})$ and related questions

Published on 12 Apr 2026 - 1:47

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Recursively defined set subset proof

Published on 03 Apr 2026 - 14:22

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Formula for cos(k*x)

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Proving that $\sum\limits_{k=0}^{2n}(-1)^k\binom{4n}{2k}=(-4)^n$

Published on 15 Apr 2026 - 5:41

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Prove number of handshakes between $n$ people is $\tfrac{n(n−1)}{2}$ by induction

Published on 16 Apr 2026 - 4:35

List Question

Proof that max value of $n$-bit binary number is $2^n - 1$

Prime Factorization and Induction

Square of a sum equals sum of cubes

Is it possible to prove by induction that $1+\frac{1}{2^2}+\frac{1}{3^2}+\dots+\frac{1}{n^2}<2\space\space \forall n\geqslant 1?$

Prove by induction that $\sum_{i=1}^n i \geq \frac{n^2}{2}$

Binomial Theorem proof using Cauchy Induction

$(|x_1|+|x_2|+...+|x_n|)$ vs $\sqrt{(|x_1|^2+|x_2|^2+...+|x_n|^2)}$, which is larger and why?

Prove: $n\in\mathbb{N}$ is not divisible by $2^n-1$ if $n>1$

Structual induction on mirror(mirror t) = t

prove that $n(n+1)$ is even using induction

On a generalization for $\sum_{d|n}rad(d)\phi(\frac{n}{d})$ and related questions

Recursively defined set subset proof

Formula for cos(k*x)

Proving that $\sum\limits_{k=0}^{2n}(-1)^k\binom{4n}{2k}=(-4)^n$

Prove number of handshakes between $n$ people is $\tfrac{n(n−1)}{2}$ by induction

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