Question

Prove that the infinite sum $\sum_{n=1}^{\infty} \frac{F_{n}}{ 10 ^ n }$ converges to a rational number

score 4.1k · Answer 1 · 2017-01-05 08:57:53

4.1k

Views

Prove that the infinite sum $\sum_{n=1}^{\infty} \frac{F_{n}}{ 10 ^ n }$ converges to a rational number

Published on 05 Jan 2017 - 8:57

score 167 · Answer 2 · 2017-01-06 00:31:52

167

Views

Can any number be present in a Fibonacci-like sequence?

Published on 06 Jan 2017 - 0:31

score 353 · Answer 3 · 2026-03-29 20:27:35

353

Views

How to solve for this infinite product?

Published on 29 Mar 2026 - 20:27

score 56 · Answer 4 · 2017-01-11 17:47:24

56

Views

Why is $F_{i+2} ≥ (\frac {1+\sqrt5} {2})^i$ in the Fibonacci series?

Published on 11 Jan 2017 - 17:47

score 2.2k · Answer 5 · 2017-01-12 20:16:46

2.2k

Views

Tiling dominos on a 3x2n grid

Published on 12 Jan 2017 - 20:16

score 241 · Answer 6 · 2026-03-25 22:06:29

241

Views

Proof for the Fibonacci sequence: $F_n \leq \left(\frac{1+\sqrt5}{2}\right)^{n-1}$

Published on 25 Mar 2026 - 22:06

score 3.3k · Answer 7 · 2017-01-14 01:42:47

3.3k

Views

How to find number of steps in Euclidean Algorithm for fibonacci numbers

Published on 14 Jan 2017 - 1:42

score 614 · Answer 8 · 2017-01-15 01:13:28

614

Views

Proving there is no non-abelian finite simple group of order a Fibonacci number

Published on 15 Jan 2017 - 1:13

score 491 · Answer 9 · 2017-01-16 20:57:56

491

Views

Fibonacci numbers divisible by p for some prime p?

Published on 16 Jan 2017 - 20:57

score 432 · Answer 10 · 2017-01-17 19:58:22

432

Views

Is there a Fibonacci number whose square is another Fibonacci?

Published on 17 Jan 2017 - 19:58

score 7.5k · Answer 11 · 2017-01-19 01:27:29

7.5k

Views

How to prove that a Fibonacci number F(n) is even if and only if n is divisible by 3?

Published on 19 Jan 2017 - 1:27

score 111 · Answer 12 · 2017-01-19 06:36:33

111

Views

Fibonacci Game Invariant Sum

Published on 19 Jan 2017 - 6:36

score 124 · Answer 13 · 2026-03-25 17:21:40

124

Views

Prove that $\prod\limits_{k=1}^{[n/2]} (3+2\cos\frac{2kπ}{n}) =F_n$

Published on 25 Mar 2026 - 17:21

score 152 · Answer 14 · 2017-01-23 09:43:53

152

Views

Solve using generating functions the following recurrence

Published on 23 Jan 2017 - 9:43

score 244 · Answer 15 · 2017-01-27 07:50:36

244

Views

Why solution of recurrence $N_h = N_{h-1} + N_{h-2} + 1$ equals $N_h = F_{h+2} - 1$

Published on 27 Jan 2017 - 7:50

List Question

Prove that the infinite sum $\sum_{n=1}^{\infty} \frac{F_{n}}{ 10 ^ n }$ converges to a rational number

Can any number be present in a Fibonacci-like sequence?

How to solve for this infinite product?

Why is $F_{i+2} ≥ (\frac {1+\sqrt5} {2})^i$ in the Fibonacci series?

Tiling dominos on a 3x2n grid

Proof for the Fibonacci sequence: $F_n \leq \left(\frac{1+\sqrt5}{2}\right)^{n-1}$

How to find number of steps in Euclidean Algorithm for fibonacci numbers

Proving there is no non-abelian finite simple group of order a Fibonacci number

Fibonacci numbers divisible by p for some prime p?

Is there a Fibonacci number whose square is another Fibonacci?

How to prove that a Fibonacci number F(n) is even if and only if n is divisible by 3?

Fibonacci Game Invariant Sum

Prove that $\prod\limits_{k=1}^{[n/2]} (3+2\cos\frac{2kπ}{n}) =F_n$

Solve using generating functions the following recurrence

Why solution of recurrence $N_h = N_{h-1} + N_{h-2} + 1$ equals $N_h = F_{h+2} - 1$

Trending Questions

Popular # Hahtags

Popular Questions