Question

Prove by induction $ 1+3+\dots+(2n-1)=n^2 \forall n\in \Bbb N_1 $

score 59 · Answer 1 · 2018-02-25 20:19:08

59

Views

Prove by induction $ 1+3+\dots+(2n-1)=n^2 \forall n\in \Bbb N_1 $

Published on 25 Feb 2018 - 20:19

score 37 · Answer 2 · 2018-02-25 22:06:10

37

Views

Let $M$ be set of intervals $[a,b]$, $a,b \in \mathbb{N}$.

Published on 25 Feb 2018 - 22:06

score 277 · Answer 3 · 2026-03-24 23:42:49

277

Views

Using Complete Induction to Prove Fibonacci Numbers

Published on 24 Mar 2026 - 23:42

score 73 · Answer 4 · 2018-02-25 23:32:02

73

Views

Need someone to check my induction proof for errors

Published on 25 Feb 2018 - 23:32

score 594 · Answer 5 · 2026-03-22 20:42:30

594

Views

Mathematical induction on Lucas sequence and Fibonacci sequence

Published on 22 Mar 2026 - 20:42

score 233 · Answer 6 · 2026-03-25 03:07:34

233

Views

Prove by induction: $n! \ge 2^{(n-1)}$ for any $n \ge 1$

Published on 25 Mar 2026 - 3:07

score 2.5k · Answer 7 · 2026-03-24 23:48:15

2.5k

Views

Prove that for the Fibonacci sequence $(F_n)$, $F_n$ divides $F_{2n}$.

Published on 24 Mar 2026 - 23:48

score 774 · Answer 8 · 2018-02-27 00:29:10

774

Views

Induction proof that the number of edges of a complete graph with $x$ vertices is always $\frac{x^2-x}{2}$

Published on 27 Feb 2018 - 0:29

score 30 · Answer 9 · 2026-03-25 04:53:19

30

Views

Divisibility Induction

Published on 25 Mar 2026 - 4:53

score 355 · Answer 10 · 2026-03-25 04:53:20

355

Views

2 variable induction proof divisibility

Published on 25 Mar 2026 - 4:53

score 178 · Answer 11 · 2018-02-28 03:57:41

178

Views

Proof Verification: Prove by induction that if $n_1, n_2,\cdots,n_t$ are even integers, then $n_1+n_2+\cdots+n_t$ is even

Published on 28 Feb 2018 - 3:57

score 77 · Answer 12 · 2018-03-01 02:11:55

77

Views

Prove Inequality using Induction

Published on 01 Mar 2018 - 2:11

score 180 · Answer 13 · 2026-03-25 11:56:22

180

Views

Induction on formulas for substitution

Published on 25 Mar 2026 - 11:56

score 44 · Answer 14 · 2018-03-01 03:52:28

44

Views

Proof Verification: Prove $f(n)<2$, when $f(1)=1$ and $f(n+1) = \sqrt{(2+f(n))}$ for all $n$ positive integers

Published on 01 Mar 2018 - 3:52

score 362 · Answer 15 · 2026-03-24 22:08:19

362

Views

Strong vs weak induction on an example from number theory

Published on 24 Mar 2026 - 22:08

List Question

Prove by induction $ 1+3+\dots+(2n-1)=n^2 \forall n\in \Bbb N_1 $

Let $M$ be set of intervals $[a,b]$, $a,b \in \mathbb{N}$.

Using Complete Induction to Prove Fibonacci Numbers

Need someone to check my induction proof for errors

Mathematical induction on Lucas sequence and Fibonacci sequence

Prove by induction: $n! \ge 2^{(n-1)}$ for any $n \ge 1$

Prove that for the Fibonacci sequence $(F_n)$, $F_n$ divides $F_{2n}$.

Induction proof that the number of edges of a complete graph with $x$ vertices is always $\frac{x^2-x}{2}$

Divisibility Induction

2 variable induction proof divisibility

Proof Verification: Prove by induction that if $n_1, n_2,\cdots,n_t$ are even integers, then $n_1+n_2+\cdots+n_t$ is even

Prove Inequality using Induction

Induction on formulas for substitution

Proof Verification: Prove $f(n)<2$, when $f(1)=1$ and $f(n+1) = \sqrt{(2+f(n))}$ for all $n$ positive integers

Strong vs weak induction on an example from number theory

Trending Questions

Popular # Hahtags

Popular Questions