Question

Using mathematical induction to show that a binary tree of height $h$ has no more than $2^h$ leaf nodes

score 2.4k · Answer 1 · 2026-04-17 13:07:07

2.4k

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Using mathematical induction to show that a binary tree of height $h$ has no more than $2^h$ leaf nodes

Published on 17 Apr 2026 - 13:07

score 2.5k · Answer 2 · 2026-05-14 20:08:47

2.5k

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Solving Recurrence Relation with Forward Substitution

Published on 14 May 2026 - 20:08

score 181 · Answer 3 · 2026-04-17 12:10:22

181

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$P(n) = 2^n > n^2$, find $k \in \mathbb{N}$ so that $P(k) \Rightarrow P(k+1)$

Published on 17 Apr 2026 - 12:10

score 213 · Answer 4 · 2026-04-11 17:37:44

213

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prove sum property by induction

Published on 11 Apr 2026 - 17:37

score 639 · Answer 5 · 2026-04-12 07:25:27

639

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Confused on definition of Inductive set?

Published on 12 Apr 2026 - 7:25

score 103 · Answer 6 · 2026-04-16 03:31:50

103

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Prove by induction $ \sum^n_{i=1}(i-1/2) = n^2/2 $

Published on 16 Apr 2026 - 3:31

score 1.2k · Answer 7 · 2026-04-11 15:23:04

1.2k

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Induction proof [ little-o notation ]

Published on 11 Apr 2026 - 15:23

score 16.9k · Answer 8 · 2026-04-12 11:39:32

16.9k

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A one-to-one function from a finite set to itself is onto - how to prove by induction?

Published on 12 Apr 2026 - 11:39

score 2.8k · Answer 9 · 2026-04-10 09:40:55

2.8k

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Recursive algorithm correctness: problem.

Published on 10 Apr 2026 - 9:40

score 2.6k · Answer 10 · 2026-04-12 09:16:33

2.6k

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Flawed proof that all positive integers are equal

Published on 12 Apr 2026 - 9:16

score 891 · Answer 11 · 2026-04-17 04:38:07

891

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$f: \mathbb{R} \to \mathbb{R}$ satisfies $(x-2)f(x)-(x+1)f(x-1) = 3$. Evaluate $f(2013)$, given that $f(2)=5$

Published on 17 Apr 2026 - 4:38

score 6.8k · Answer 12 · 2026-05-15 14:43:59

6.8k

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How to prove that $n^k = O(2^n)$

Published on 15 May 2026 - 14:43

score 955 · Answer 13 · 2026-04-16 06:09:28

955

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Prove $\sin(1/n)<1/n$ for all $n$

Published on 16 Apr 2026 - 6:09

score 9.1k · Answer 14 · 2026-04-15 06:45:40

9.1k

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Proving Inequality using Induction $a^n-b^n \leq na^{n-1}(a-b)$

Published on 15 Apr 2026 - 6:45

score 713 · Answer 15 · 2026-04-12 17:45:23

713

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Prove By Mathematical Induction (factorial-to-the-fourth vs power of two)

Published on 12 Apr 2026 - 17:45

List Question

Using mathematical induction to show that a binary tree of height $h$ has no more than $2^h$ leaf nodes

Solving Recurrence Relation with Forward Substitution

$P(n) = 2^n > n^2$, find $k \in \mathbb{N}$ so that $P(k) \Rightarrow P(k+1)$

prove sum property by induction

Confused on definition of Inductive set?

Prove by induction $ \sum^n_{i=1}(i-1/2) = n^2/2 $

Induction proof [ little-o notation ]

A one-to-one function from a finite set to itself is onto - how to prove by induction?

Recursive algorithm correctness: problem.

Flawed proof that all positive integers are equal

$f: \mathbb{R} \to \mathbb{R}$ satisfies $(x-2)f(x)-(x+1)f(x-1) = 3$. Evaluate $f(2013)$, given that $f(2)=5$

How to prove that $n^k = O(2^n)$

Prove $\sin(1/n)<1/n$ for all $n$

Proving Inequality using Induction $a^n-b^n \leq na^{n-1}(a-b)$

Prove By Mathematical Induction (factorial-to-the-fourth vs power of two)

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