List questions from induction

Published on 28 Mar 2026 - 4:22

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how to prove $1/n (1-(1/2)^n)$ decreasing without using differentiation

Published on 24 Aug 2014 - 12:23

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Prove $1! + 2! + . . . + n! < (n + 1)!$ using mathematical induction

Published on 28 Mar 2026 - 2:03

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Direct proof of principle of transfinite induction

Published on 25 Mar 2026 - 7:53

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Finding a formula for $1+\sum_{j=1}^n(j!)\cdot j$ using induction

Published on 28 Mar 2026 - 2:03

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coin problem with two coins, inductive proof

Published on 27 Mar 2026 - 8:46

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Use the recursive definition, $f(k) + k² + 2k -3$, to prove that, for any $n ∈ \Bbb N,\ f(n) = n² - 4$.

Published on 28 Mar 2026 - 4:26

325

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Induction Proof of trig inequality $\sum_{k=0}^n |\cos k| \ge \frac n2$

Published on 27 Aug 2014 - 17:49

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Show that $f^{[n]}(0)=0$ for all $n=0,1,2...$

Published on 27 Aug 2014 - 19:40

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Proof by induction (exponents)

Published on 27 Aug 2014 - 20:24

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Proof that $\dfrac{1}{e^x}=e^{-x}$ without converting it to $e^{x}e^{-x}=1$.

Published on 28 Aug 2014 - 2:39

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Showing the $n$-th derivative of $\cos x$ by induction

Published on 28 Aug 2014 - 14:07

30

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How do you solve a recurrence with a functin through induction?

Published on 28 Aug 2014 - 16:56

258

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What actually constitutes a definition for a function?

Published on 28 Aug 2014 - 19:29

112

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Induction proof for $ \sum\limits_{i=1}^n i^22^i = n^22^{n+1}-n2^{n+2}+3 \cdot2^{n+1}-6 $

Published on 29 Aug 2014 - 6:28

List Question

How to solve this recursive equation?

how to prove $1/n (1-(1/2)^n)$ decreasing without using differentiation

Prove $1! + 2! + . . . + n! < (n + 1)!$ using mathematical induction

Direct proof of principle of transfinite induction

Finding a formula for $1+\sum_{j=1}^n(j!)\cdot j$ using induction

coin problem with two coins, inductive proof

Use the recursive definition, $f(k) + k² + 2k -3$, to prove that, for any $n ∈ \Bbb N,\ f(n) = n² - 4$.

Induction Proof of trig inequality $\sum_{k=0}^n |\cos k| \ge \frac n2$

Show that $f^{[n]}(0)=0$ for all $n=0,1,2...$

Proof by induction (exponents)

Proof that $\dfrac{1}{e^x}=e^{-x}$ without converting it to $e^{x}e^{-x}=1$.

Showing the $n$-th derivative of $\cos x$ by induction

How do you solve a recurrence with a functin through induction?

What actually constitutes a definition for a function?

Induction proof for $ \sum\limits_{i=1}^n i^22^i = n^22^{n+1}-n2^{n+2}+3 \cdot2^{n+1}-6 $

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