Question

How do I solve this question based on induction?

score 90 · Answer 1 · 2026-04-11 14:11:24

90

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How do I solve this question based on induction?

Published on 11 Apr 2026 - 14:11

score 519 · Answer 2 · 2026-04-15 00:42:24

519

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Proof by induction for recursive sequence $a_n =a_{\lfloor n/2 \rfloor} + a_{\lceil n/2 \rceil} +3n +1$

Published on 15 Apr 2026 - 0:42

score 102 · Answer 3 · 2026-04-11 21:05:38

102

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How do I solve this problem based on induction?

Published on 11 Apr 2026 - 21:05

score 102 · Answer 4 · 2026-04-12 10:30:14

102

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A proof using induction

Published on 12 Apr 2026 - 10:30

score 95 · Answer 5 · 2026-04-17 04:32:16

95

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Prove that $\sum _{i=0}^{p} \left( \binom {p+1}{i+1} \times \sum _{j=1}^{n} j^{p-i} \right)=(n+1)^{p+1}-1$

Published on 17 Apr 2026 - 4:32

score 710 · Answer 6 · 2026-04-13 05:35:17

710

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Mathematical Proof : Is a binary tree a BST?

Published on 13 Apr 2026 - 5:35

score 62 · Answer 7 · 2026-04-14 13:37:18

62

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Prove $\sum_{i=1}^{n}i^r = \frac{n^{r+1}}{r+1}+\frac{n^r}{2}+P_r(n)$ Such that $P_r$ is a polynomial with degree less than $r$

Published on 14 Apr 2026 - 13:37

score 122 · Answer 8 · 2026-04-12 13:47:44

122

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How can I find the $n$ th derivatve of this function

Published on 12 Apr 2026 - 13:47

score 68 · Answer 9 · 2026-04-12 00:41:49

68

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Prove by induction question

Published on 12 Apr 2026 - 0:41

score 256 · Answer 10 · 2026-04-14 05:27:46

256

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Prove without induction that $3^{4n}-2^{4n}$ is divisible by $65$

Published on 14 Apr 2026 - 5:27

score 90 · Answer 11 · 2026-04-09 21:19:09

90

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Mathematical Induction on Fibonacci numbers

Published on 09 Apr 2026 - 21:19

score 21k · Answer 12 · 2026-04-15 10:34:57

21k

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Using induction to prove all numbers are prime or a product of primes

Published on 15 Apr 2026 - 10:34

score 6.1k · Answer 13 · 2026-04-16 10:02:34

Induction to prove that a set of $n+1$ integers between $1$ and $2n$ has at least one number which divides another number in the set

score 1.9k · Answer 14 · 2026-04-14 17:51:55

1.9k

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A simpler proof of $(1-x)^n<\frac{1}{1+nx}$

Published on 14 Apr 2026 - 17:51

score 54 · Answer 15 · 2026-04-16 02:02:27

54

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I intuitively understand it but can't formulate a correct induction

Published on 16 Apr 2026 - 2:02

List Question

How do I solve this question based on induction?

Proof by induction for recursive sequence $a_n =a_{\lfloor n/2 \rfloor} + a_{\lceil n/2 \rceil} +3n +1$

How do I solve this problem based on induction?

A proof using induction

Prove that $\sum _{i=0}^{p} \left( \binom {p+1}{i+1} \times \sum _{j=1}^{n} j^{p-i} \right)=(n+1)^{p+1}-1$

Mathematical Proof : Is a binary tree a BST?

Prove $\sum_{i=1}^{n}i^r = \frac{n^{r+1}}{r+1}+\frac{n^r}{2}+P_r(n)$ Such that $P_r$ is a polynomial with degree less than $r$

How can I find the $n$ th derivatve of this function

Prove by induction question

Prove without induction that $3^{4n}-2^{4n}$ is divisible by $65$

Mathematical Induction on Fibonacci numbers

Using induction to prove all numbers are prime or a product of primes

Induction to prove that a set of $n+1$ integers between $1$ and $2n$ has at least one number which divides another number in the set

A simpler proof of $(1-x)^n<\frac{1}{1+nx}$

I intuitively understand it but can't formulate a correct induction

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