List questions from induction

Published on 18 Aug 2014 - 19:53

1.2k

Views

Prove that $133$ divides $11^{n+1} + 12^{2n−1}$ for all $n > 1$?

Published on 31 Mar 2026 - 14:32

942

Views

For every $n$ there exists $m$ such that $m/n$ is an upper bound but $(m-1)/n$ is not

Published on 20 Aug 2014 - 2:27

194

Views

Limit of a sequence of averages (three variables)

Published on 20 Aug 2014 - 14:19

4.2k

Views

Prove that the 25 people can be seated in this way

Published on 22 Aug 2014 - 0:25

13.4k

Views

Maximum and average number of inversions in array by induction

Published on 22 Aug 2014 - 3:18

179

Views

Showing that $\sum\limits_{k=2}^n {k\choose2} = {{n+1}\choose 3}$ for integers $n\geq 2$

Published on 22 Aug 2014 - 12:36

501

Views

Proof by Induction [Number Theory by George E. Andrews 1-1 #2]

Published on 22 Aug 2014 - 17:57

652

Views

Induction Problem Number of Tiles on Floor

Published on 22 Aug 2014 - 18:34

1.8k

Views

Proof of the inequality $F_i<(5/3)^i$ for the Fibonacci numbers

Published on 27 Mar 2026 - 13:48

99

Views

Reference for $F$-algebras and induction?

Published on 25 Mar 2026 - 14:29

9.1k

Views

The number $(3+\sqrt{5})^n+(3-\sqrt{5})^n$ is an integer

Published on 01 Apr 2026 - 7:46

210

Views

What is wrong with the following induction argument?

Published on 23 Aug 2014 - 14:19

870

Views

IS this proof by induction of the hand shake lemma correct?

Published on 24 Aug 2014 - 2:23

155

Views

Use induction to prove the following: $1! + 2! + .... + n! \le (n + 1)!$

Published on 28 Mar 2026 - 2:04

List Question

Induction on prime numbers

Prove that $133$ divides $11^{n+1} + 12^{2n−1}$ for all $n > 1$?

For every $n$ there exists $m$ such that $m/n$ is an upper bound but $(m-1)/n$ is not

Limit of a sequence of averages (three variables)

Prove that the 25 people can be seated in this way

Maximum and average number of inversions in array by induction

Showing that $\sum\limits_{k=2}^n {k\choose2} = {{n+1}\choose 3}$ for integers $n\geq 2$

Proof by Induction [Number Theory by George E. Andrews 1-1 #2]

Induction Problem Number of Tiles on Floor

Proof of the inequality $F_i<(5/3)^i$ for the Fibonacci numbers

Reference for $F$-algebras and induction?

The number $(3+\sqrt{5})^n+(3-\sqrt{5})^n$ is an integer

What is wrong with the following induction argument?

IS this proof by induction of the hand shake lemma correct?

Use induction to prove the following: $1! + 2! + .... + n! \le (n + 1)!$

Trending Questions

Popular # Hahtags

Popular Questions