Question

Why did Terence Tao write Proposition 2.1.11 about mathematical induction in "Analysis I"?

score 498 · Answer 1 · 2019-07-28 22:39:37

498

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Why did Terence Tao write Proposition 2.1.11 about mathematical induction in "Analysis I"?

Published on 28 Jul 2019 - 22:39

score 55 · Answer 2 · 2019-07-29 19:28:07

55

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Proof verification induction on sequence

Published on 29 Jul 2019 - 19:28

score 102 · Answer 3 · 2026-03-25 20:12:45

102

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Is the induction correct in this proof of $R/(I_1\cdots I_k) \cong R/I_1 \times \cdots \times R/I_k$?

Published on 25 Mar 2026 - 20:12

score 63 · Answer 4 · 2019-07-30 10:27:22

63

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Proving the following inequality using Mathematical Induction

Published on 30 Jul 2019 - 10:27

score 48 · Answer 5 · 2019-07-31 16:44:38

48

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How to fix this proof of theorem?

Published on 31 Jul 2019 - 16:44

score 105 · Answer 6 · 2019-07-31 22:11:23

105

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Prove by induction $2^n \gt \frac{n(n-1)(n-2)}{6}$

Published on 31 Jul 2019 - 22:11

score 137 · Answer 7 · 2019-07-31 23:26:08

137

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Use $S_n-\frac{n}{n+1}T_n<M$ to prove $\sum_{n=1}^{\infty}a_n$ converges

Published on 31 Jul 2019 - 23:26

score 189 · Answer 8 · 2026-04-01 18:51:12

189

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Knowing that $u_1 = 1, u_2 = 3$ and $u_{n + 2} = 2u_{n + 1} - u_n + 1, \forall n \in \mathbb Z^+$, prove that $4u_{n + 2}u_n + 1$ is a square number.

Published on 01 Apr 2026 - 18:51

score 170 · Answer 9 · 2019-08-07 05:38:50

Knowing that $a_m = 2a_{m - 1}(a_{m - 1} + 1)$, find $n$ such that $a_1^2 + a_2^2 + \cdots + a_{m - 1}^2 + a_m^2 + n^2$ is a square number.

score 136 · Answer 10 · 2019-08-07 07:37:58

136

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Circular Induction

Published on 07 Aug 2019 - 7:37

score 48 · Answer 11 · 2019-08-08 00:54:55

48

Views

increasing map has fixed point (proof check)

Published on 08 Aug 2019 - 0:54

score 237 · Answer 12 · 2019-08-08 02:07:11

237

Views

Formula for $n^{th}$ derivative of $1/(x^2 +1)$

Published on 08 Aug 2019 - 2:07

score 166 · Answer 13 · 2026-03-29 04:47:32

166

Views

$ (\cup_{n=1}^{\infty} A_n )^c= \cap _{n=1}^{\infty} (A_n) ^c $

Published on 29 Mar 2026 - 4:47

score 81 · Answer 14 · 2026-03-26 17:52:40

81

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Surjectivity of floor of harmonic sequence

Published on 26 Mar 2026 - 17:52

score 99 · Answer 15 · 2019-08-08 17:45:48

99

Views

Proof by induction - stuck on simple question!

Published on 08 Aug 2019 - 17:45

List Question

Why did Terence Tao write Proposition 2.1.11 about mathematical induction in "Analysis I"?

Proof verification induction on sequence

Is the induction correct in this proof of $R/(I_1\cdots I_k) \cong R/I_1 \times \cdots \times R/I_k$?

Proving the following inequality using Mathematical Induction

How to fix this proof of theorem?

Prove by induction $2^n \gt \frac{n(n-1)(n-2)}{6}$

Use $S_n-\frac{n}{n+1}T_n<M$ to prove $\sum_{n=1}^{\infty}a_n$ converges

Knowing that $u_1 = 1, u_2 = 3$ and $u_{n + 2} = 2u_{n + 1} - u_n + 1, \forall n \in \mathbb Z^+$, prove that $4u_{n + 2}u_n + 1$ is a square number.

Knowing that $a_m = 2a_{m - 1}(a_{m - 1} + 1)$, find $n$ such that $a_1^2 + a_2^2 + \cdots + a_{m - 1}^2 + a_m^2 + n^2$ is a square number.

Circular Induction

increasing map has fixed point (proof check)

Formula for $n^{th}$ derivative of $1/(x^2 +1)$

$ (\cup_{n=1}^{\infty} A_n )^c= \cap _{n=1}^{\infty} (A_n) ^c $

Surjectivity of floor of harmonic sequence

Proof by induction - stuck on simple question!

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