Question

Evaluate $3^x$ from $0$ to $ n$. $\sum_{i=0}^{\log_{3}(n)} 3^i $

score 22 · Answer 1 · 2026-04-17 08:05:47

22

Views

Evaluate $3^x$ from $0$ to $ n$. $\sum_{i=0}^{\log_{3}(n)} 3^i $

Published on 17 Apr 2026 - 8:05

score 80 · Answer 2 · 2026-04-17 06:26:32

80

Views

Show that $\frac{1}{3}+\frac{8}{7}+\cdots +\frac{n^3}{n^2+n+1}<\frac{n(3n+5)}{6}$

Published on 17 Apr 2026 - 6:26

score 97 · Answer 3 · 2026-04-18 20:05:38

97

Views

Does $\sum_{k=1}^∞ \frac1{\prod_{i=0}^{l(k)} (\ln^i k) · {(\ln^{l(k)} k)}^{l(k)}}$ converge, where $l(x) = \min \{ c\in\Bbb{N} : \ln^c x < e \}$?

Published on 18 Apr 2026 - 20:05

score 421 · Answer 4 · 2026-04-13 10:57:29

421

Views

Convergence of the Average of Partial Sums

Published on 13 Apr 2026 - 10:57

score 126 · Answer 5 · 2026-04-14 15:37:11

126

Views

Question: Using the Cauchy-Schwarz Inequality to compare between 2 expressions

Published on 14 Apr 2026 - 15:37

score 115 · Answer 6 · 2026-04-16 23:01:15

115

Views

Get the initial value of a summation with known formula and result?

Published on 16 Apr 2026 - 23:01

score 73 · Answer 7 · 2026-04-12 14:30:42

73

Views

Is there any closed form for $\sum_{k=0}^n\frac{x^k}{k!}$?

Published on 12 Apr 2026 - 14:30

score 61 · Answer 8 · 2026-04-16 05:30:00

61

Views

prove $\frac{1}{x^n+1}=\prod_{k=1}^n(x-x_k)^{-1}$

Published on 16 Apr 2026 - 5:30

score 20 · Answer 9 · 2026-04-14 21:22:55

20

Views

Number of Bits Required to Store Every 32-bit/sample Audio File at 44100 Samples/Second up to 20 minutes

Published on 14 Apr 2026 - 21:22

score 102 · Answer 10 · 2026-04-18 13:31:08

102

Views

Finite integration is Sum? Sum is a special case of Integration?

Published on 18 Apr 2026 - 13:31

score 71 · Answer 11 · 2026-04-15 05:18:10

71

Views

Find the sum of $\sum_{k=1}^n\left(\frac{1}{(k+1)^2}-\frac{1}{k^2}\right)$

Published on 15 Apr 2026 - 5:18

score 28 · Answer 12 · 2026-04-15 08:16:41

28

Views

Find a specific summation $\sum^{i-1}_{k=1} k \frac{2a(n-(k-1))!}{(k-1-r_1)!(k-1-r_2)!(k-1-r_3)!}$

Published on 15 Apr 2026 - 8:16

score 31 · Answer 13 · 2026-04-10 20:36:06

31

Views

Stuck on last step of Summation of Finite Series question

Published on 10 Apr 2026 - 20:36

score 56 · Answer 14 · 2026-04-16 18:33:25

56

Views

$2\,000\,000 = \frac{1}{1.1^5} \cdot \sum_{t=1}^{10} \frac{e}{1.7^t}$

Published on 16 Apr 2026 - 18:33

score 2.4k · Answer 15 · 2026-04-13 20:24:24

2.4k

Views

Reindexing for summation calculation

Published on 13 Apr 2026 - 20:24

List Question

Evaluate $3^x$ from $0$ to $ n$. $\sum_{i=0}^{\log_{3}(n)} 3^i $

Show that $\frac{1}{3}+\frac{8}{7}+\cdots +\frac{n^3}{n^2+n+1}<\frac{n(3n+5)}{6}$

Does $\sum_{k=1}^∞ \frac1{\prod_{i=0}^{l(k)} (\ln^i k) · {(\ln^{l(k)} k)}^{l(k)}}$ converge, where $l(x) = \min \{ c\in\Bbb{N} : \ln^c x < e \}$?

Convergence of the Average of Partial Sums

Question: Using the Cauchy-Schwarz Inequality to compare between 2 expressions

Get the initial value of a summation with known formula and result?

Is there any closed form for $\sum_{k=0}^n\frac{x^k}{k!}$?

prove $\frac{1}{x^n+1}=\prod_{k=1}^n(x-x_k)^{-1}$

Number of Bits Required to Store Every 32-bit/sample Audio File at 44100 Samples/Second up to 20 minutes

Finite integration is Sum? Sum is a special case of Integration?

Find the sum of $\sum_{k=1}^n\left(\frac{1}{(k+1)^2}-\frac{1}{k^2}\right)$

Find a specific summation $\sum^{i-1}_{k=1} k \frac{2a(n-(k-1))!}{(k-1-r_1)!(k-1-r_2)!(k-1-r_3)!}$

Stuck on last step of Summation of Finite Series question

$2\,000\,000 = \frac{1}{1.1^5} \cdot \sum_{t=1}^{10} \frac{e}{1.7^t}$

Reindexing for summation calculation

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