Question

Rewrite $\sum_{n=1}^k\log_3{(\frac{n+1}{n})}$ and write the formula in terms of k

score 51 · Answer 1 · 2026-03-25 07:46:11

51

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Rewrite $\sum_{n=1}^k\log_3{(\frac{n+1}{n})}$ and write the formula in terms of k

Published on 25 Mar 2026 - 7:46

score 104 · Answer 2 · 2026-03-25 07:48:53

104

Views

Find $ \cot\left(\sum_{n=1}^{23} \cot^{-1} (1+\sum_{k=1}^n 2k )\right)$

Published on 25 Mar 2026 - 7:48

score 532 · Answer 3 · 2019-06-12 09:54:50

532

Views

Exact Hat Algebra

Published on 12 Jun 2019 - 9:54

score 268 · Answer 4 · 2026-03-26 06:10:57

268

Views

How to find $\lim_{n \to \infty}\Sigma_{i=1}^n\frac{\sin(\pi x)^2}{i^2}$?

Published on 26 Mar 2026 - 6:10

score 90 · Answer 5 · 2026-03-26 22:18:17

90

Views

Calculate the maximum value of $\sum_{cyc}\frac{1}{\sqrt{a^2 + b^2}}$ where $a, b, c > 0$ and $abc = a + b + c + 2$.

Published on 26 Mar 2026 - 22:18

score 63 · Answer 6 · 2019-06-13 07:45:58

63

Views

The limit $n \rightarrow \infty$ of the standard deviation of $x_k= \ln k, k=1,2,3,..,n.$

Published on 13 Jun 2019 - 7:45

score 138 · Answer 7 · 2026-03-27 04:58:58

138

Views

If $a,b,c>0$ and $ab+bc+ca=3$, prove that $\sum_{cyc} \frac{a}{\sqrt{a^3+5}} \leq \sqrt{6}/2$

Published on 27 Mar 2026 - 4:58

score 80 · Answer 8 · 2026-03-26 17:32:23

80

Views

Sum involving Stirling number of first kind

Published on 26 Mar 2026 - 17:32

score 131 · Answer 9 · 2026-03-30 12:00:26

131

Views

How to find sum $\sum_{x=1}^K x^n(x-1)^m$

Published on 30 Mar 2026 - 12:00

score 138 · Answer 10 · 2019-06-13 13:22:11

138

Views

How to get the sum till Kth term of this series for the given N ? I want the formula to get the sum till K'th term in this series

Published on 13 Jun 2019 - 13:22

score 65 · Answer 11 · 2026-03-26 04:34:51

65

Views

Is it true that $\sum_{i=1}^{n-1} \frac{1}{f(i)f(i+1)}=\frac{n-1}{f(1)f(n)}$ if $f(i)$,$f(i+1)$,$f(i+2)$..... forms an arithmetic progression?

Published on 26 Mar 2026 - 4:34

score 143 · Answer 12 · 2026-03-26 14:34:27

143

Views

Sum involving roots of unity: $\sum \frac{1}{1-\omega^k}$

Published on 26 Mar 2026 - 14:34

score 322 · Answer 13 · 2026-03-27 04:38:44

322

Views

Adjusting weights of a weighted sum so that the sum has a lower bound.

Published on 27 Mar 2026 - 4:38

score 188 · Answer 14 · 2019-06-15 00:41:28

188

Views

Find the Value of $\sin^2A + \sin^2B + \sin^2C$ given the following data.

Published on 15 Jun 2019 - 0:41

score 61 · Answer 15 · 2026-03-27 00:05:53

61

Views

What is the sum of the series? $\sum_{i=0}^{K+N-3}\left\lfloor \frac{i}{N-1} \right\rfloor$

Published on 27 Mar 2026 - 0:05

List Question

Rewrite $\sum_{n=1}^k\log_3{(\frac{n+1}{n})}$ and write the formula in terms of k

Find $ \cot\left(\sum_{n=1}^{23} \cot^{-1} (1+\sum_{k=1}^n 2k )\right)$

Exact Hat Algebra

How to find $\lim_{n \to \infty}\Sigma_{i=1}^n\frac{\sin(\pi x)^2}{i^2}$?

Calculate the maximum value of $\sum_{cyc}\frac{1}{\sqrt{a^2 + b^2}}$ where $a, b, c > 0$ and $abc = a + b + c + 2$.

The limit $n \rightarrow \infty$ of the standard deviation of $x_k= \ln k, k=1,2,3,..,n.$

If $a,b,c>0$ and $ab+bc+ca=3$, prove that $\sum_{cyc} \frac{a}{\sqrt{a^3+5}} \leq \sqrt{6}/2$

Sum involving Stirling number of first kind

How to find sum $\sum_{x=1}^K x^n(x-1)^m$

How to get the sum till Kth term of this series for the given N ? I want the formula to get the sum till K'th term in this series

Is it true that $\sum_{i=1}^{n-1} \frac{1}{f(i)f(i+1)}=\frac{n-1}{f(1)f(n)}$ if $f(i)$,$f(i+1)$,$f(i+2)$..... forms an arithmetic progression?

Sum involving roots of unity: $\sum \frac{1}{1-\omega^k}$

Adjusting weights of a weighted sum so that the sum has a lower bound.

Find the Value of $\sin^2A + \sin^2B + \sin^2C$ given the following data.

What is the sum of the series? $\sum_{i=0}^{K+N-3}\left\lfloor \frac{i}{N-1} \right\rfloor$

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