List questions from induction

Published on 12 Apr 2026 - 18:16

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Prove $|A_1\cup\dotsb\cup A_n|\leq|A_1|+|A_2|+\dotsb+|A_n|$ using Induction

Published on 17 Apr 2026 - 10:14

82

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Converging sequence $a_{{n+1}}=6\, \left( a_{{n}}+1 \right) ^{-1}$

Published on 17 Apr 2026 - 1:15

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Proof by induction that $1^2 + 3^2 + 5^2 + ... + (2n-1)^2 = \frac{n(2n-1)(2n+1))}{3}$

Published on 16 Apr 2026 - 21:57

185

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Proof of closed form for finite sums by induction.

Published on 13 Apr 2026 - 3:12

50

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Induction Question Is Completely Throwing Me Off

Published on 12 Apr 2026 - 13:15

138

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Induction on a Recursive Sequence?

Published on 04 Apr 2026 - 3:14

590

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How to prove that: let $n$ a natural odd, then prove that $x^n<y^n$ iff $x<y$

Published on 15 Apr 2026 - 20:59

255

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Induction (Need help with understanding notation)

Published on 08 Apr 2026 - 20:02

64

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Using mathematical induction to prove P(n)

Published on 14 Apr 2026 - 0:35

21

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Need help evaluating the inductive step

Published on 11 Apr 2026 - 14:08

68

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Mathematical Induction on sports

Published on 10 Apr 2026 - 21:58

838

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Strong Induction Explanation

Published on 08 Apr 2026 - 16:35

102

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Prove that $(()())\in P$ (the set of balanced paranthesis) and $))(() \notin P$

Published on 27 Mar 2026 - 14:59

1k

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Truth table and induction

Published on 14 Apr 2026 - 0:29

List Question

Why is Mathematical Induction used to prove solvable inequalities?

Prove $|A_1\cup\dotsb\cup A_n|\leq|A_1|+|A_2|+\dotsb+|A_n|$ using Induction

Converging sequence $a_{{n+1}}=6\, \left( a_{{n}}+1 \right) ^{-1}$

Proof by induction that $1^2 + 3^2 + 5^2 + ... + (2n-1)^2 = \frac{n(2n-1)(2n+1))}{3}$

Proof of closed form for finite sums by induction.

Induction Question Is Completely Throwing Me Off

Induction on a Recursive Sequence?

How to prove that: let $n$ a natural odd, then prove that $x^n<y^n$ iff $x<y$

Induction (Need help with understanding notation)

Using mathematical induction to prove P(n)

Need help evaluating the inductive step

Mathematical Induction on sports

Strong Induction Explanation

Prove that $(()())\in P$ (the set of balanced paranthesis) and $))(() \notin P$

Truth table and induction

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