List questions from induction

Published on 14 Apr 2026 - 19:51

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Give a formal proof by induction that $f^k(m, n) = (m − kn, n)$ for all $k\in\Bbb Z^+$.

Published on 17 Apr 2026 - 3:02

39

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Induction: finding a formula equal to the one given

Published on 08 Apr 2026 - 20:33

49

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Proving a property of Harmonic sum by induction

Published on 12 Apr 2026 - 5:25

78

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Prove by induction: the coefficients of (a+b) to the power of n are the same if turned into a number as 11 to the power of n

Published on 15 Apr 2026 - 20:13

295

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How can I prove by induction that this is a closed form of the Fibonacci sequence?

Published on 12 Apr 2026 - 20:32

248

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Infimum and supremum of finite ordered subsets

Published on 12 Apr 2026 - 12:30

55

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Algebra not working out

Published on 11 Apr 2026 - 21:31

68

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Discrete math induction proof (divisibilty)

Published on 14 Apr 2026 - 8:34

55

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how do I prove this by induction? (recursion)

Published on 04 Apr 2026 - 3:15

61

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Induction Proof: If $B \subseteq A$, then $|B| \leq |A|$.

Published on 13 Apr 2026 - 14:38

300

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Induction proof (bitstring length)

Published on 17 Apr 2026 - 6:03

1.4k

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Proof by Induction: Number of bit strings of length $n$ starting with a 1 or ending with a 0

Published on 13 Apr 2026 - 18:07

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prove by induction: $x_n=a^nx_0+b(1+a+\cdots+a^{n-1})$ given $f(x)=ax+b$ with initial value $x_0$

Published on 17 Apr 2026 - 13:41

19.4k

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Induction proof of a Recurrence Relation?

Published on 06 May 2026 - 0:22

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Historical use of k in proof by induction

Give a formal proof by induction that $f^k(m, n) = (m − kn, n)$ for all $k\in\Bbb Z^+$.

Induction: finding a formula equal to the one given

Proving a property of Harmonic sum by induction

Prove by induction: the coefficients of (a+b) to the power of n are the same if turned into a number as 11 to the power of n

How can I prove by induction that this is a closed form of the Fibonacci sequence?

Infimum and supremum of finite ordered subsets

Algebra not working out

Discrete math induction proof (divisibilty)

how do I prove this by induction? (recursion)

Induction Proof: If $B \subseteq A$, then $|B| \leq |A|$.

Induction proof (bitstring length)

Proof by Induction: Number of bit strings of length $n$ starting with a 1 or ending with a 0

prove by induction: $x_n=a^nx_0+b(1+a+\cdots+a^{n-1})$ given $f(x)=ax+b$ with initial value $x_0$

Induction proof of a Recurrence Relation?

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