Question

Proving that a sequence is not Cauchy

score 8.8k · Answer 1 · 2026-04-13 03:24:37

8.8k

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Proving that a sequence is not Cauchy

Published on 13 Apr 2026 - 3:24

score 135 · Answer 2 · 2026-05-05 19:38:41

135

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What is the number of binary sequences of length N in which every occurrence of zeros has even length?

Published on 05 May 2026 - 19:38

score 103 · Answer 3 · 2026-05-16 12:21:49

103

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Need help finding the formula (nth) term of the following sequence

Published on 16 May 2026 - 12:21

score 200 · Answer 4 · 2026-05-16 07:05:54

200

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For $x>0$ find $\sum_{k=0}^\infty\frac{x^ke^{-x}}{k!}$

Published on 16 May 2026 - 7:05

score 612 · Answer 5 · 2026-04-12 08:37:51

612

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What is a sequence that gets closer and closer to a without converging to a?

Published on 12 Apr 2026 - 8:37

score 71 · Answer 6 · 2026-04-12 11:45:30

71

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Infinite series sum

Published on 12 Apr 2026 - 11:45

score 49 · Answer 7 · 2026-04-14 06:54:05

49

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Given a fixed $x_0$ can a reccurence relation give rise to two distinct sequences?

Published on 14 Apr 2026 - 6:54

score 1k · Answer 8 · 2026-04-24 03:54:28

1k

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If a sequence of rational numbers converges to an irrational number, the sequence of their denominators is unbounded

Published on 24 Apr 2026 - 3:54

score 275 · Answer 9 · 2026-05-10 15:43:14

275

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An integer sequence related to Penrose tessellation

Published on 10 May 2026 - 15:43

score 88 · Answer 10 · 2026-04-17 08:15:03

88

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Find out if $\sum_{n=2}^{\infty}{(3-x^2)^n}$ diverges or converges

Published on 17 Apr 2026 - 8:15

score 74 · Answer 11 · 2026-05-10 22:58:56

74

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Being $f_n$ a Fibonacci-like sequence, prove that if $f_n$ and $f_{n-1}$ are coprimes, then $f_n$ and $f_{n+1}$ are coprimes.

Published on 10 May 2026 - 22:58

score 605 · Answer 12 · 2026-05-15 05:31:38

605

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Prob. 10 (a), Sec. 26, in Munkres' TOPOLOGY, 2nd ed: A Partial Converse To The Uniform Limit Theorem

Published on 15 May 2026 - 5:31

score 324 · Answer 13 · 2026-04-15 21:52:51

324

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Prime pattern found in the integral $\int_0^\pi \exp\left(\frac{\cos t}{8}\right)\cos\left(\frac{\sin t}{8}\right) \cos(nt )dt$

Published on 15 Apr 2026 - 21:52

score 8.5k · Answer 14 · 2026-04-17 10:03:55

8.5k

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$\frac {1}{6} + \frac {5}{6.12} + \frac {5. 8}{6.12.18} + \frac {5.8.11}{6.12.18.24} + \cdots.$

Published on 17 Apr 2026 - 10:03

score 66 · Answer 15 · 2026-04-16 09:29:02

66

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Will this series converge? $\sum \frac {1/2 + (-1)^n}{n}$

Published on 16 Apr 2026 - 9:29

List Question

Proving that a sequence is not Cauchy

What is the number of binary sequences of length N in which every occurrence of zeros has even length?

Need help finding the formula (nth) term of the following sequence

For $x>0$ find $\sum_{k=0}^\infty\frac{x^ke^{-x}}{k!}$

What is a sequence that gets closer and closer to a without converging to a?

Infinite series sum

Given a fixed $x_0$ can a reccurence relation give rise to two distinct sequences?

If a sequence of rational numbers converges to an irrational number, the sequence of their denominators is unbounded

An integer sequence related to Penrose tessellation

Find out if $\sum_{n=2}^{\infty}{(3-x^2)^n}$ diverges or converges

Being $f_n$ a Fibonacci-like sequence, prove that if $f_n$ and $f_{n-1}$ are coprimes, then $f_n$ and $f_{n+1}$ are coprimes.

Prob. 10 (a), Sec. 26, in Munkres' TOPOLOGY, 2nd ed: A Partial Converse To The Uniform Limit Theorem

Prime pattern found in the integral $\int_0^\pi \exp\left(\frac{\cos t}{8}\right)\cos\left(\frac{\sin t}{8}\right) \cos(nt )dt$

$\frac {1}{6} + \frac {5}{6.12} + \frac {5. 8}{6.12.18} + \frac {5.8.11}{6.12.18.24} + \cdots.$

Will this series converge? $\sum \frac {1/2 + (-1)^n}{n}$

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