Question

Prove that $(s_2 - s_1) + (s_4 - s_3) + \cdots + (s_n - s_{n-1}) < s_n - s_1$

score 75 · Answer 1 · 2026-03-25 11:14:47

75

Views

Prove that $(s_2 - s_1) + (s_4 - s_3) + \cdots + (s_n - s_{n-1}) < s_n - s_1$

Published on 25 Mar 2026 - 11:14

score 33 · Answer 2 · 2020-02-08 19:03:00

33

Views

Function continuity and invertibility for a separated function

Published on 08 Feb 2020 - 19:03

score 570 · Answer 3 · 2020-02-08 20:44:38

570

Views

Prove that if $ (x+y)$ is even, then $(x−y)$ is even, for integers. Did I prove correctly? is this a direct proof?

Published on 08 Feb 2020 - 20:44

score 44 · Answer 4 · 2020-02-08 22:43:16

44

Views

Sequential compactness and continuity

Published on 08 Feb 2020 - 22:43

score 3.2k · Answer 5 · 2020-02-08 23:41:04

3.2k

Views

Is my proof valid? Prove that if a, b, and c are real numbers and a ≠ 0, then there is a unique solution for x of the equation ax + b = c.

Published on 08 Feb 2020 - 23:41

score 67 · Answer 6 · 2026-03-26 22:51:54

67

Views

is my proof by contradiction correct?

Published on 26 Mar 2026 - 22:51

score 83 · Answer 7 · 2020-02-09 02:32:15

83

Views

If two polynomials satisfy $|P|^{2}=|Q|^{2}$, then they must have the same number of zeros, including the multiplicities.

Published on 09 Feb 2020 - 2:32

score 582 · Answer 8 · 2026-03-29 23:35:40

582

Views

Prove that all cyclic groups are Abelian.

Published on 29 Mar 2026 - 23:35

score 69 · Answer 9 · 2020-02-09 04:33:44

Suppose $\lim x_{n} = x$, and $x\neq0$, show that there is an $N \in \mathbb N$ so that if $n\geq N$ then $|x_{n}|\geq \frac{|x|}{2}$

score 69 · Answer 10 · 2026-04-02 12:24:25

69

Views

Prove that the following function is differentiable (Spivak's book)

Published on 02 Apr 2026 - 12:24

score 174 · Answer 11 · 2020-02-09 06:14:36

174

Views

Sequential Compactness and Connectedness

Published on 09 Feb 2020 - 6:14

score 112 · Answer 12 · 2026-03-31 22:48:18

112

Views

3 questions about proofs

Published on 31 Mar 2026 - 22:48

score 77 · Answer 13 · 2020-02-09 10:46:35

77

Views

Prove: $33|mn(m^{10}-n^{10})\forall m,n\in\mathbb Z$

Published on 09 Feb 2020 - 10:46

score 72 · Answer 14 · 2020-02-09 12:32:39

72

Views

Prove: $9\mid a^6+a^{6^2}+\ldots+ a^{6^{27}},\;a\in\mathbb N$

Published on 09 Feb 2020 - 12:32

score 74 · Answer 15 · 2020-02-09 13:40:05

74

Views

Finding the second derivative of $f(x)=\frac{6}{7x^4}$

Published on 09 Feb 2020 - 13:40

List Question

Prove that $(s_2 - s_1) + (s_4 - s_3) + \cdots + (s_n - s_{n-1}) < s_n - s_1$

Function continuity and invertibility for a separated function

Prove that if $ (x+y)$ is even, then $(x−y)$ is even, for integers. Did I prove correctly? is this a direct proof?

Sequential compactness and continuity

Is my proof valid? Prove that if a, b, and c are real numbers and a ≠ 0, then there is a unique solution for x of the equation ax + b = c.

is my proof by contradiction correct?

If two polynomials satisfy $|P|^{2}=|Q|^{2}$, then they must have the same number of zeros, including the multiplicities.

Prove that all cyclic groups are Abelian.

Suppose $\lim x_{n} = x$, and $x\neq0$, show that there is an $N \in \mathbb N$ so that if $n\geq N$ then $|x_{n}|\geq \frac{|x|}{2}$

Prove that the following function is differentiable (Spivak's book)

Sequential Compactness and Connectedness

3 questions about proofs

Prove: $33|mn(m^{10}-n^{10})\forall m,n\in\mathbb Z$

Prove: $9\mid a^6+a^{6^2}+\ldots+ a^{6^{27}},\;a\in\mathbb N$

Finding the second derivative of $f(x)=\frac{6}{7x^4}$

Trending Questions

Popular # Hahtags

Popular Questions