Question

How to get a feel for rigor/form used in mathematics?

score 52 · Answer 1 · 2026-04-11 22:10:40

52

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How to get a feel for rigor/form used in mathematics?

Published on 11 Apr 2026 - 22:10

score 9.1k · Answer 2 · 2026-04-16 18:47:54

9.1k

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Prove by induction $3+3 \cdot 5+ \cdots +3 \cdot 5^n = \frac{3(5^{n+1} -1)}{4}$

Published on 16 Apr 2026 - 18:47

score 94 · Answer 3 · 2026-04-15 22:01:19

94

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Prove if $x_1,...,x_n$ are natural numbers with $n\geq2$ then $x_1x_2...x_n$ is odd iff $x_i$ is odd for all $i$, $1\leq i\leq n$

Published on 15 Apr 2026 - 22:01

score 789 · Answer 4 · 2026-04-22 16:18:23

789

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understanding a proof which uses induction on the length of a formula

Published on 22 Apr 2026 - 16:18

score 128 · Answer 5 · 2026-04-11 07:20:34

128

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Rebracketing Theorem

Published on 11 Apr 2026 - 7:20

score 5.9k · Answer 6 · 2026-04-14 23:00:25

5.9k

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Prove the n-th Fibonacci number is less than $2^n$ for all n greater than zero using strong induction

Published on 14 Apr 2026 - 23:00

score 108 · Answer 7 · 2026-04-13 05:12:29

108

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Prove that the arithmetic-geometric mean inequality holds for any list of numbers whose length is a power of 2

Published on 13 Apr 2026 - 5:12

score 175 · Answer 8 · 2026-04-14 20:27:19

175

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Counting the number of subsets of a set of 2n elements satisfying some conditions.

Published on 14 Apr 2026 - 20:27

score 201 · Answer 9 · 2026-04-08 19:01:16

201

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Proof of propositional logic theorem using Induction on Formulas

Published on 08 Apr 2026 - 19:01

score 99 · Answer 10 · 2026-04-16 22:47:15

99

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Proving that $\frac{1}{4(5)}+\frac{1}{5(6)}+\frac{1}{6(7)}+\cdots+\frac{1}{(n+3)(n+4)}=\frac{n}{4(n+4)}$ by induction

Published on 16 Apr 2026 - 22:47

score 104 · Answer 11 · 2026-04-13 10:18:27

104

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Pattern with the the tetration of summations.

Published on 13 Apr 2026 - 10:18

score 116 · Answer 12 · 2026-04-13 03:11:22

116

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Induction Sum of all odd Numbers

Published on 13 Apr 2026 - 3:11

score 1.7k · Answer 13 · 2026-04-01 02:35:41

1.7k

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Full binary tree theorem proof validity?

Published on 01 Apr 2026 - 2:35

score 61 · Answer 14 · 2026-04-16 20:47:11

61

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Derivative of degree k for $f(t)$ $=$ $1 \over {1 + t}$

Published on 16 Apr 2026 - 20:47

score 83 · Answer 15 · 2026-04-15 19:20:44

83

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Determinant of $n \times n$ matrix whose entries are given by $m_{ij} = i^{n-j}$

Published on 15 Apr 2026 - 19:20

List Question

How to get a feel for rigor/form used in mathematics?

Prove by induction $3+3 \cdot 5+ \cdots +3 \cdot 5^n = \frac{3(5^{n+1} -1)}{4}$

Prove if $x_1,...,x_n$ are natural numbers with $n\geq2$ then $x_1x_2...x_n$ is odd iff $x_i$ is odd for all $i$, $1\leq i\leq n$

understanding a proof which uses induction on the length of a formula

Rebracketing Theorem

Prove the n-th Fibonacci number is less than $2^n$ for all n greater than zero using strong induction

Prove that the arithmetic-geometric mean inequality holds for any list of numbers whose length is a power of 2

Counting the number of subsets of a set of 2n elements satisfying some conditions.

Proof of propositional logic theorem using Induction on Formulas

Proving that $\frac{1}{4(5)}+\frac{1}{5(6)}+\frac{1}{6(7)}+\cdots+\frac{1}{(n+3)(n+4)}=\frac{n}{4(n+4)}$ by induction

Pattern with the the tetration of summations.

Induction Sum of all odd Numbers

Full binary tree theorem proof validity?

Derivative of degree k for $f(t)$ $=$ $1 \over {1 + t}$

Determinant of $n \times n$ matrix whose entries are given by $m_{ij} = i^{n-j}$

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