Question

Math induction problem with large numbers

score 768 · Answer 1 · 2026-03-31 11:49:02

768

Views

Math induction problem with large numbers

Published on 31 Mar 2026 - 11:49

score 1.5k · Answer 2 · 2026-04-14 12:16:07

1.5k

Views

Can someone explain the division in this proof of the sum of harmonic sequence? $(n+1)*h(n) - n$

Published on 14 Apr 2026 - 12:16

score 368 · Answer 3 · 2026-03-30 04:58:44

368

Views

How to calculate $\int_0^1\cdots\int_0^1\frac{1}{x_1+x_2+\cdots+x_n+1}dx_1\cdots dx_n$

Published on 30 Mar 2026 - 4:58

score 68 · Answer 4 · 2015-12-09 00:51:22

68

Views

Prove that $\frac{\binom{n}{k}}{n^k} < \frac{\binom{n+1}{k}}{(n+1)^k}$

Published on 09 Dec 2015 - 0:51

score 5.1k · Answer 5 · 2026-03-28 15:24:14

5.1k

Views

Is it a new type of induction? (Infinitesimal induction) Is this even true?

Published on 28 Mar 2026 - 15:24

score 67 · Answer 6 · 2026-04-11 19:34:59

67

Views

Show with mathematical induction using n:

Published on 11 Apr 2026 - 19:34

score 1.1k · Answer 7 · 2026-04-14 17:16:40

1.1k

Views

Proof by induction: Number of subsets of cardinality $2$ of set with $n$ elements is $\frac{n(n-1)}{2}$

Published on 14 Apr 2026 - 17:16

score 217 · Answer 8 · 2026-03-29 12:57:23

217

Views

Prove that $\cos\left(\frac{2\pi}{n}\right)+\cos\left(\frac{4\pi}{n}\right)+\ldots+\cos\left(\frac{2(n-1)\pi}{n}\right)=-1$

Published on 29 Mar 2026 - 12:57

score 50 · Answer 9 · 2026-04-13 17:02:01

50

Views

Validity of Inductive Proof - Proof Confirmation

Published on 13 Apr 2026 - 17:02

score 285 · Answer 10 · 2026-04-02 23:27:43

285

Views

Prove inequality using binomial theorem

Published on 02 Apr 2026 - 23:27

score 6.5k · Answer 11 · 2026-04-16 12:40:07

6.5k

Views

Mathematical Induction question: Prove divisibility by $4$ of $5^n + 9^n + 2$

Published on 16 Apr 2026 - 12:40

score 1.2k · Answer 12 · 2026-04-17 00:04:17

1.2k

Views

$1/4 + 1/ 9 + ... 1/n^2< 1$ induction

Published on 17 Apr 2026 - 0:04

score 114 · Answer 13 · 2026-04-16 17:11:04

114

Views

prove by induction that $F(n) \leq \left(\frac{1 + \sqrt{5}}{2}\right)^n$

Published on 16 Apr 2026 - 17:11

score 15.1k · Answer 14 · 2026-04-16 00:13:51

15.1k

Views

How to prove $1 + 3 + 3^2 + ... + 3^{n-1} = (3^n - 1)/2$ by mathematical induction?

Published on 16 Apr 2026 - 0:13

score 166 · Answer 15 · 2026-04-14 19:03:53

166

Views

Prove (by induction) that the given closed form indeed gives the same sequence.

Published on 14 Apr 2026 - 19:03

List Question

Math induction problem with large numbers

Can someone explain the division in this proof of the sum of harmonic sequence? $(n+1)*h(n) - n$

How to calculate $\int_0^1\cdots\int_0^1\frac{1}{x_1+x_2+\cdots+x_n+1}dx_1\cdots dx_n$

Prove that $\frac{\binom{n}{k}}{n^k} < \frac{\binom{n+1}{k}}{(n+1)^k}$

Is it a new type of induction? (Infinitesimal induction) Is this even true?

Show with mathematical induction using n:

Proof by induction: Number of subsets of cardinality $2$ of set with $n$ elements is $\frac{n(n-1)}{2}$

Prove that $\cos\left(\frac{2\pi}{n}\right)+\cos\left(\frac{4\pi}{n}\right)+\ldots+\cos\left(\frac{2(n-1)\pi}{n}\right)=-1$

Validity of Inductive Proof - Proof Confirmation

Prove inequality using binomial theorem

Mathematical Induction question: Prove divisibility by $4$ of $5^n + 9^n + 2$

$1/4 + 1/ 9 + ... 1/n^2< 1$ induction

prove by induction that $F(n) \leq \left(\frac{1 + \sqrt{5}}{2}\right)^n$

How to prove $1 + 3 + 3^2 + ... + 3^{n-1} = (3^n - 1)/2$ by mathematical induction?

Prove (by induction) that the given closed form indeed gives the same sequence.

Trending Questions

Popular # Hahtags

Popular Questions