Question

Showing permutation does not change output of commutative operation (recursion theorem)

score 170 · Answer 1 · 2026-04-12 22:59:26

170

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Showing permutation does not change output of commutative operation (recursion theorem)

Published on 12 Apr 2026 - 22:59

score 53 · Answer 2 · 2026-04-13 19:35:27

53

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Help with algebraic manipulation for proof: $\sum_{k=0}^{n} \frac{1}{2^{k}}=2-\frac{1}{2^{n}}$

Published on 13 Apr 2026 - 19:35

score 94 · Answer 3 · 2026-04-12 02:36:36

94

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Discrete Math : proving of predicate logic

Published on 12 Apr 2026 - 2:36

score 219 · Answer 4 · 2026-04-12 04:21:29

219

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The proof by induction of the multinomial theorem

Published on 12 Apr 2026 - 4:21

score 57 · Answer 5 · 2026-04-16 17:44:29

57

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How to do induction proof for all $n \ge 1$, $((-1)^n+1)n = (1-(-1)^n(2n+1))$?

Published on 16 Apr 2026 - 17:44

score 46 · Answer 6 · 2026-04-24 09:23:27

46

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How to use binomial properties when proving by induction?

Published on 24 Apr 2026 - 9:23

score 68 · Answer 7 · 2026-04-15 17:10:48

68

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Prove that for all $n \in \mathbb{N}_0: \ 4^{2n + 1} + 3^{n+2} $ is divisible by 13.

Published on 15 Apr 2026 - 17:10

score 165 · Answer 8 · 2026-04-13 23:44:15

165

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why is a vacuously true base case valid for simple induction?

Published on 13 Apr 2026 - 23:44

score 35 · Answer 9 · 2026-04-14 17:11:38

35

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simplest example of weak induction with vacuously true base case

Published on 14 Apr 2026 - 17:11

score 55 · Answer 10 · 2026-04-12 01:47:13

55

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Alternative characterisation of supremum

Published on 12 Apr 2026 - 1:47

score 138 · Answer 11 · 2026-04-16 04:19:59

138

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I need to prove $n^4 - 5n \geq 2n^2 -6$, for all $n≥1$ by mathematical induction.

Published on 16 Apr 2026 - 4:19

score 31 · Answer 12 · 2026-04-13 22:27:45

31

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Can someone help me prove this statement by induction or some other proof method?

Published on 13 Apr 2026 - 22:27

score 71 · Answer 13 · 2026-04-16 02:38:29

71

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Induction $n! - n^4 \ge n^2 - 11n\,$ for $\,n \ge \text{some } n_0$.

Published on 16 Apr 2026 - 2:38

score 134 · Answer 14 · 2026-04-14 21:31:26

134

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$ p_k = \prod_{1 \leq j \neq k \leq n} |x_{k} - x_{j}|$ \ Prove that, $\sum_{k=1}^{n} \frac{1}{p_{k}} \geq 2^{(n - 2)}$

Published on 14 Apr 2026 - 21:31

score 129 · Answer 15 · 2026-04-14 05:29:47

129

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Can someone check my induction proof of $n^2 > 2n + 1$ for all $ n \geq 3$.

Published on 14 Apr 2026 - 5:29

List Question

Showing permutation does not change output of commutative operation (recursion theorem)

Help with algebraic manipulation for proof: $\sum_{k=0}^{n} \frac{1}{2^{k}}=2-\frac{1}{2^{n}}$

Discrete Math : proving of predicate logic

The proof by induction of the multinomial theorem

How to do induction proof for all $n \ge 1$, $((-1)^n+1)n = (1-(-1)^n(2n+1))$?

How to use binomial properties when proving by induction?

Prove that for all $n \in \mathbb{N}_0: \ 4^{2n + 1} + 3^{n+2} $ is divisible by 13.

why is a vacuously true base case valid for simple induction?

simplest example of weak induction with vacuously true base case

Alternative characterisation of supremum

I need to prove $n^4 - 5n \geq 2n^2 -6$, for all $n≥1$ by mathematical induction.

Can someone help me prove this statement by induction or some other proof method?

Induction $n! - n^4 \ge n^2 - 11n\,$ for $\,n \ge \text{some } n_0$.

$ p_k = \prod_{1 \leq j \neq k \leq n} |x_{k} - x_{j}|$ \ Prove that, $\sum_{k=1}^{n} \frac{1}{p_{k}} \geq 2^{(n - 2)}$

Can someone check my induction proof of $n^2 > 2n + 1$ for all $ n \geq 3$.

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