Question

Prove by induction that $y_n = (n-4)2^{n-1}+4$?

score 41 · Answer 1 · 2016-10-12 23:43:27

41

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Prove by induction that $y_n = (n-4)2^{n-1}+4$?

Published on 12 Oct 2016 - 23:43

score 17.6k · Answer 2 · 2026-04-14 22:45:22

17.6k

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Prove by induction that every positive integer is represented by some binary number?

Published on 14 Apr 2026 - 22:45

score 297 · Answer 3 · 2026-04-09 14:14:19

297

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Confusion with Ceiling functions

Published on 09 Apr 2026 - 14:14

score 8.3k · Answer 4 · 2026-04-12 02:21:31

8.3k

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How do I find a flaw in this false proof that $7n = 0$ for all natural numbers?

Published on 12 Apr 2026 - 2:21

score 134 · Answer 5 · 2016-10-13 16:07:56

134

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How to prove $2^{2n}\leq n!$ for all $n\geq 9$ with induction?

Published on 13 Oct 2016 - 16:07

score 32 · Answer 6 · 2026-04-12 06:55:53

32

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Question about induction

Published on 12 Apr 2026 - 6:55

score 666 · Answer 7 · 2026-04-13 09:49:39

666

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Can we use mathematical induction when induction basis is 'too' broad?

Published on 13 Apr 2026 - 9:49

score 1.1k · Answer 8 · 2026-04-15 02:32:46

1.1k

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Prove $ 4\times 2^n $ divides $ a^{2^n}-1 $ for all odd a, and $ n \in \Bbb N $

Published on 15 Apr 2026 - 2:32

score 107 · Answer 9 · 2026-04-14 18:46:41

107

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Show that $\sum^{n}_{k=1}(k+2)(k+4) = \frac{2n^{3} + 21n^{2} + 67n}{6}$

Published on 14 Apr 2026 - 18:46

score 64 · Answer 10 · 2026-04-14 19:03:46

64

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Prove by induction. $n \in \mathbb N$.

Published on 14 Apr 2026 - 19:03

score 300 · Answer 11 · 2026-04-14 21:39:03

300

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Inductively the number of edges for a connected graph

Published on 14 Apr 2026 - 21:39

score 87 · Answer 12 · 2016-10-15 21:07:32

87

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For all $n\in\Bbb N$ show $9\mid(16^n+12n-1)$

Published on 15 Oct 2016 - 21:07

score 51 · Answer 13 · 2026-04-14 11:46:05

51

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Strong Induction: Choosing values for the ranges[Q]

Published on 14 Apr 2026 - 11:46

score 205 · Answer 14 · 2026-04-14 18:59:34

205

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Induction example, where base case harder to prove than inductive step

Published on 14 Apr 2026 - 18:59

score 70 · Answer 15 · 2016-10-16 14:32:25

70

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Proving propositions of the form "For all x and every natural number n, P(x, n)" via induction

Published on 16 Oct 2016 - 14:32

List Question

Prove by induction that $y_n = (n-4)2^{n-1}+4$?

Prove by induction that every positive integer is represented by some binary number?

Confusion with Ceiling functions

How do I find a flaw in this false proof that $7n = 0$ for all natural numbers?

How to prove $2^{2n}\leq n!$ for all $n\geq 9$ with induction?

Question about induction

Can we use mathematical induction when induction basis is 'too' broad?

Prove $ 4\times 2^n $ divides $ a^{2^n}-1 $ for all odd a, and $ n \in \Bbb N $

Show that $\sum^{n}_{k=1}(k+2)(k+4) = \frac{2n^{3} + 21n^{2} + 67n}{6}$

Prove by induction. $n \in \mathbb N$.

Inductively the number of edges for a connected graph

For all $n\in\Bbb N$ show $9\mid(16^n+12n-1)$

Strong Induction: Choosing values for the ranges[Q]

Induction example, where base case harder to prove than inductive step

Proving propositions of the form "For all x and every natural number n, P(x, n)" via induction

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