Question

Proof by induction that $f(n) = 1-2^{2^n}$, where $f(0) = 3$ and $f(n) = 2 f(n-1) - (f(n-1))^2$

score 643 · Answer 1 · 2026-04-04 09:43:17

643

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Proof by induction that $f(n) = 1-2^{2^n}$, where $f(0) = 3$ and $f(n) = 2 f(n-1) - (f(n-1))^2$

Published on 04 Apr 2026 - 9:43

score 38 · Answer 2 · 2014-10-12 12:18:40

38

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Use induction to show that $f(n)=2\log_2n+1$

Published on 12 Oct 2014 - 12:18

score 720 · Answer 3 · 2014-10-12 16:22:51

720

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Mathematical induction base case is not initial

Published on 12 Oct 2014 - 16:22

score 129 · Answer 4 · 2014-10-12 18:43:02

129

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Prove by Induction: $n \le 3 \sqrt{n} +4$. How to work with the Square-root?

Published on 12 Oct 2014 - 18:43

score 343 · Answer 5 · 2014-10-12 20:52:38

343

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Need help in proving combinatorial identity involving unions, intersections and complements over sets using induction

Published on 12 Oct 2014 - 20:52

score 1.6k · Answer 6 · 2014-10-12 21:21:54

1.6k

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Limit of a sum is the sum of the limits: proof by induction

Published on 12 Oct 2014 - 21:21

score 81 · Answer 7 · 2026-04-01 05:08:18

81

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Prove that $10 | (n^a - n^b)$.

Published on 01 Apr 2026 - 5:08

score 1.8k · Answer 8 · 2026-04-04 11:25:57

1.8k

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Is this recursively defined sequence decreasing? $x_{n+1}={1\over{4-x_n}}$, $x_1=3$.

Published on 04 Apr 2026 - 11:25

score 93 · Answer 9 · 2014-10-13 04:37:55

93

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Method of Proof (Computer Science)

Published on 13 Oct 2014 - 4:37

score 458 · Answer 10 · 2014-10-13 12:15:00

458

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$n^{3} + 2n$ is divisible by $3$. Is this induction proof correct?

Published on 13 Oct 2014 - 12:15

score 303 · Answer 11 · 2026-03-28 07:49:46

303

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Proving a Recursion Using Induction

Published on 28 Mar 2026 - 7:49

score 2.4k · Answer 12 · 2014-10-14 05:34:07

2.4k

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Proof by counter example of optimal solution for Coin Changing problem (no nickels)

Published on 14 Oct 2014 - 5:34

score 363 · Answer 13 · 2014-10-14 11:35:22

363

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combination/induction question, number of ways you can divide n people into groups of 1 or 2

Published on 14 Oct 2014 - 11:35

score 3.5k · Answer 14 · 2014-10-14 15:19:22

3.5k

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Prove by Induction : $\sum n^3=(\sum n)^2$

Published on 14 Oct 2014 - 15:19

score 254 · Answer 15 · 2014-10-14 15:58:21

254

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How to verify by induction that 1(1!) + 2(2!) + ... + n(n!) = (n+1)! - 1 for every pos. int. n?

Published on 14 Oct 2014 - 15:58

List Question

Proof by induction that $f(n) = 1-2^{2^n}$, where $f(0) = 3$ and $f(n) = 2 f(n-1) - (f(n-1))^2$

Use induction to show that $f(n)=2\log_2n+1$

Mathematical induction base case is not initial

Prove by Induction: $n \le 3 \sqrt{n} +4$. How to work with the Square-root?

Need help in proving combinatorial identity involving unions, intersections and complements over sets using induction

Limit of a sum is the sum of the limits: proof by induction

Prove that $10 | (n^a - n^b)$.

Is this recursively defined sequence decreasing? $x_{n+1}={1\over{4-x_n}}$, $x_1=3$.

Method of Proof (Computer Science)

$n^{3} + 2n$ is divisible by $3$. Is this induction proof correct?

Proving a Recursion Using Induction

Proof by counter example of optimal solution for Coin Changing problem (no nickels)

combination/induction question, number of ways you can divide n people into groups of 1 or 2

Prove by Induction : $\sum n^3=(\sum n)^2$

How to verify by induction that 1(1!) + 2(2!) + ... + n(n!) = (n+1)! - 1 for every pos. int. n?

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