Question

Sum of the fifth powers of the first n numbers

score 94 · Answer 1 · 2026-04-13 01:54:53

94

Views

Sum of the fifth powers of the first n numbers

Published on 13 Apr 2026 - 1:54

score 34 · Answer 2 · 2026-04-16 03:46:13

34

Views

Is my proof using induction correct. $(\forall n \in \mathbb{N}, n\geq 5) 2^{n+3} < (n+1)!$

Published on 16 Apr 2026 - 3:46

score 116 · Answer 3 · 2026-04-15 09:33:14

116

Views

Is this true (Trigonometry) and if so, can it be proved by induction?

Published on 15 Apr 2026 - 9:33

score 57 · Answer 4 · 2026-04-08 16:59:56

57

Views

Inductive definition of concatenation of strings

Published on 08 Apr 2026 - 16:59

score 59 · Answer 5 · 2026-04-14 03:53:54

59

Views

Prove that $\forall m \in \mathbb{Z}: f(x+m)=f(x) \ \forall x \in \mathbb{R}$

Published on 14 Apr 2026 - 3:53

score 68 · Answer 6 · 2026-04-11 14:17:46

68

Views

prove that if $A^k =0$ then there is $v \in \mathbb{F}^{n}$ such that the group $\{v,vA,vA^2,\dots,vA^{k-1}\}$ is linearly independent in induction

Published on 11 Apr 2026 - 14:17

score 188 · Answer 7 · 2026-04-16 04:06:23

188

Views

Do $P(0)$ and $P(n)\implies P(n+1)$ yield $P(5)$ without an axiom of induction?

Published on 16 Apr 2026 - 4:06

score 53 · Answer 8 · 2026-04-14 17:41:48

53

Views

How do I go about proving if a|b then $a^n|b^n \forall n \in \mathbb{N}$

Published on 14 Apr 2026 - 17:41

score 77 · Answer 9 · 2026-04-16 15:19:59

77

Views

Question in validity of proof that $9|n^3 + (n+1)^3 + (n+2)^3$

Published on 16 Apr 2026 - 15:19

score 28 · Answer 10 · 2026-04-12 05:11:57

28

Views

Understanding base cases of inductive proofs in algorithm analysis Cormen et al

Published on 12 Apr 2026 - 5:11

score 73 · Answer 11 · 2026-04-11 03:44:51

73

Views

Proof by induction that $3^{2n}-1$ is divisible by 8.

Published on 11 Apr 2026 - 3:44

score 76 · Answer 12 · 2026-04-16 16:58:44

76

Views

A set of lines, each of which intersect the others, are either coplanar or share a single common point.

Published on 16 Apr 2026 - 16:58

score 57 · Answer 13 · 2026-04-16 17:56:56

Is This Proof For $a_nx^n+a_{n-1}x^{n-1}+...+a_1x^1+a_0=0\Rightarrow a_n=a_{n-1}=...a_1=a_0=0$, $\forall n\forall x$ Okay?

score 19 · Answer 14 · 2026-04-17 04:16:14

19

Views

Let $n$ be the number of vertices in a graph. Prove that for every $n \equiv 0,1 \pmod 4$ there exists a self-complementary graph of order $n$.

Published on 17 Apr 2026 - 4:16

score 47 · Answer 15 · 2026-04-16 21:59:03

47

Views

Prove by induction that $2^n > n^2+ 4 n + 5$ $\forall n \ge 7$

Published on 16 Apr 2026 - 21:59

List Question

Sum of the fifth powers of the first n numbers

Is my proof using induction correct. $(\forall n \in \mathbb{N}, n\geq 5) 2^{n+3} < (n+1)!$

Is this true (Trigonometry) and if so, can it be proved by induction?

Inductive definition of concatenation of strings

Prove that $\forall m \in \mathbb{Z}: f(x+m)=f(x) \ \forall x \in \mathbb{R}$

prove that if $A^k =0$ then there is $v \in \mathbb{F}^{n}$ such that the group $\{v,vA,vA^2,\dots,vA^{k-1}\}$ is linearly independent in induction

Do $P(0)$ and $P(n)\implies P(n+1)$ yield $P(5)$ without an axiom of induction?

How do I go about proving if a|b then $a^n|b^n \forall n \in \mathbb{N}$

Question in validity of proof that $9|n^3 + (n+1)^3 + (n+2)^3$

Understanding base cases of inductive proofs in algorithm analysis Cormen et al

Proof by induction that $3^{2n}-1$ is divisible by 8.

A set of lines, each of which intersect the others, are either coplanar or share a single common point.

Is This Proof For $a_nx^n+a_{n-1}x^{n-1}+...+a_1x^1+a_0=0\Rightarrow a_n=a_{n-1}=...a_1=a_0=0$, $\forall n\forall x$ Okay?

Let $n$ be the number of vertices in a graph. Prove that for every $n \equiv 0,1 \pmod 4$ there exists a self-complementary graph of order $n$.

Prove by induction that $2^n > n^2+ 4 n + 5$ $\forall n \ge 7$

Trending Questions

Popular # Hahtags

Popular Questions