Question

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

score 62 · Answer 1 · 2026-04-16 10:44:44

62

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

Published on 16 Apr 2026 - 10:44

score 40 · Answer 2 · 2026-04-15 20:40:48

40

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

Published on 15 Apr 2026 - 20:40

score 282 · Answer 3 · 2026-05-10 12:32:07

282

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Using Complete Induction to Prove Fibonacci Numbers

Published on 10 May 2026 - 12:32

score 77 · Answer 4 · 2026-05-05 05:27:35

77

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Need someone to check my induction proof for errors

Published on 05 May 2026 - 5:27

score 599 · Answer 5 · 2026-05-05 12:22:42

599

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Mathematical induction on Lucas sequence and Fibonacci sequence

Published on 05 May 2026 - 12:22

score 236 · Answer 6 · 2026-05-10 17:15:30

236

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

Published on 10 May 2026 - 17:15

score 2.6k · Answer 7 · 2026-05-10 12:34:28

2.6k

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

Published on 10 May 2026 - 12:34

score 777 · Answer 8 · 2026-04-15 23:28:20

777

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

Published on 15 Apr 2026 - 23:28

score 35 · Answer 9 · 2026-05-11 01:01:03

35

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Divisibility Induction

Published on 11 May 2026 - 1:01

score 358 · Answer 10 · 2026-05-11 01:01:06

358

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2 variable induction proof divisibility

Published on 11 May 2026 - 1:01

score 181 · Answer 11 · 2026-04-15 21:57:40

181

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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 15 Apr 2026 - 21:57

score 80 · Answer 12 · 2026-04-15 03:16:17

80

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Prove Inequality using Induction

Published on 15 Apr 2026 - 3:16

score 189 · Answer 13 · 2026-05-10 17:54:57

189

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Induction on formulas for substitution

Published on 10 May 2026 - 17:54

score 47 · Answer 14 · 2026-04-16 14:04:31

47

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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 16 Apr 2026 - 14:04

score 368 · Answer 15 · 2026-05-10 14:51:39

368

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Strong vs weak induction on an example from number theory

Published on 10 May 2026 - 14:51

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

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