Question

Show that a sequence is monotonically increasing.

score 134 · Answer 1 · 2019-07-10 22:42:29

134

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Show that a sequence is monotonically increasing.

Published on 10 Jul 2019 - 22:42

score 93 · Answer 2 · 2026-04-01 16:03:33

93

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If $4 = \frac{3}{a_1} = \frac{3}{a_2}+a_1= \frac{3}{a_3} + a_2 = ... = \frac{3}{a_{n+1}} + a_n$ Prove that $a_n= \frac{3^{n+1} - 3}{3^{n+1}-1}$

Published on 01 Apr 2026 - 16:03

score 88 · Answer 3 · 2026-03-29 19:09:47

88

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Factorization in a proof of induction

Published on 29 Mar 2026 - 19:09

score 198 · Answer 4 · 2026-03-26 06:20:16

198

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First-order logic and Peano Arithmetic paradox

Published on 26 Mar 2026 - 6:20

score 86 · Answer 5 · 2019-07-12 12:11:33

86

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Counting the Number of Votes by Induction

Published on 12 Jul 2019 - 12:11

score 51 · Answer 6 · 2019-07-12 16:55:21

51

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mathematical Induction (algebra)

Published on 12 Jul 2019 - 16:55

score 29 · Answer 7 · 2019-07-12 20:12:40

29

Views

Show that the sum of a finite collection of vectors is independent of how they are added

Published on 12 Jul 2019 - 20:12

score 345 · Answer 8 · 2026-03-26 09:32:36

345

Views

The proof of theorem of Mathematical Induction.

Published on 26 Mar 2026 - 9:32

score 308 · Answer 9 · 2019-07-16 12:44:45

308

Views

Given N switches, how many combinations are there where no more and no fewer than m switches are turned on?

Published on 16 Jul 2019 - 12:44

score 100 · Answer 10 · 2019-07-18 14:25:20

100

Views

Prove: $d(x_1,x_n)\leq d(x_1,x_2)+...+d(x_{n-1},x_n)$

Published on 18 Jul 2019 - 14:25

score 134 · Answer 11 · 2026-03-27 14:57:35

134

Views

Find a formula for a recursion

Published on 27 Mar 2026 - 14:57

score 665 · Answer 12 · 2026-03-26 22:50:10

665

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Fibonacci Sequence proof by induction

Published on 26 Mar 2026 - 22:50

score 116 · Answer 13 · 2026-03-27 04:00:03

116

Views

Prove that $~a_1!a_2!\cdots a_m! \mid \left(a_1+a_2+...+a_m\right)! ~~~\forall ~a_1,a_2,...,a_m\in N$

Published on 27 Mar 2026 - 4:00

score 76 · Answer 14 · 2019-07-20 14:51:15

76

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The art of computer science - Mathematical Induction

Published on 20 Jul 2019 - 14:51

score 46 · Answer 15 · 2019-07-21 23:09:25

46

Views

Proof verification induction

Published on 21 Jul 2019 - 23:09

List Question

Show that a sequence is monotonically increasing.

If $4 = \frac{3}{a_1} = \frac{3}{a_2}+a_1= \frac{3}{a_3} + a_2 = ... = \frac{3}{a_{n+1}} + a_n$ Prove that $a_n= \frac{3^{n+1} - 3}{3^{n+1}-1}$

Factorization in a proof of induction

First-order logic and Peano Arithmetic paradox

Counting the Number of Votes by Induction

mathematical Induction (algebra)

Show that the sum of a finite collection of vectors is independent of how they are added

The proof of theorem of Mathematical Induction.

Given N switches, how many combinations are there where no more and no fewer than m switches are turned on?

Prove: $d(x_1,x_n)\leq d(x_1,x_2)+...+d(x_{n-1},x_n)$

Find a formula for a recursion

Fibonacci Sequence proof by induction

Prove that $~a_1!a_2!\cdots a_m! \mid \left(a_1+a_2+...+a_m\right)! ~~~\forall ~a_1,a_2,...,a_m\in N$

The art of computer science - Mathematical Induction

Proof verification induction

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