Question

Is there a way to determine what the sum of x to the power m (from 1 to n) evaluates to?

score 76 · Answer 1 · 2019-06-24 01:27:01

76

Views

Is there a way to determine what the sum of x to the power m (from 1 to n) evaluates to?

Published on 24 Jun 2019 - 1:27

score 126 · Answer 2 · 2026-03-25 20:36:23

126

Views

$ \sum_{m=1}^{n} \sum_{k=1}^{m} (-1)^{k+1} H_k ~ ^{n}C_{k} = H_n $

Published on 25 Mar 2026 - 20:36

score 201 · Answer 3 · 2019-06-24 10:59:25

201

Views

Concrete Mathematics - 2.5 Method 5 Summation of $k^2$

Published on 24 Jun 2019 - 10:59

score 932 · Answer 4 · 2019-06-24 14:43:16

932

Views

How to prove $\sum\limits_{i=1}^n \sum\limits_{j=1}^n \min\{s_i,s_j\}=\sum\limits_{k=1}^M c_k^2$

Published on 24 Jun 2019 - 14:43

score 53 · Answer 5 · 2019-06-24 20:38:11

53

Views

Simplifying $(3/2)^i$ for $i = 0$ to $\\(log_2 n) -1$

Published on 24 Jun 2019 - 20:38

score 216 · Answer 6 · 2026-03-29 16:02:54

216

Views

What is the value of $\rho$ in the prime counting function $\pi(x)$?

Published on 29 Mar 2026 - 16:02

score 63 · Answer 7 · 2026-04-01 13:01:07

63

Views

When$ f(x) = \sum_{n=0}^{200}a_{n}x^{n}$ satisfy with $f(x)+f(x-1) = (x+1)^{200}$ for all $x\in \mathbb{R}$ , find the value of [detail]

Published on 01 Apr 2026 - 13:01

score 223 · Answer 8 · 2026-03-25 12:53:44

223

Views

Hyperbolic series similar to Ramanujan’s identities

Published on 25 Mar 2026 - 12:53

score 1.3k · Answer 9 · 2026-03-26 06:05:36

1.3k

Views

$\sum_{i = 1}^{n} f(\xi_{n})\Delta x_{i}$ notation explanation

Published on 26 Mar 2026 - 6:05

score 107 · Answer 10 · 2026-03-30 15:36:13

107

Views

The sum $\sum_{k=0}^{n} (-1)^k \frac{{n \choose k}}{{n+k \choose k}}=\frac{1}{2}$

Published on 30 Mar 2026 - 15:36

score 78 · Answer 11 · 2019-06-25 17:35:45

78

Views

Please help me understand the following transition in the limit

Published on 25 Jun 2019 - 17:35

score 70 · Answer 12 · 2026-03-30 15:34:46

70

Views

Sum up to n terms of a series containing binomial coefficients

Published on 30 Mar 2026 - 15:34

score 102 · Answer 13 · 2026-03-27 10:09:30

102

Views

Finding the sum of an inverse series define by recursion

Published on 27 Mar 2026 - 10:09

score 107 · Answer 14 · 2019-06-26 01:32:19

107

Views

How to I find a formula for $\frac{1}{1\cdot 2} + \frac{1}{2\cdot 3} + \cdots + \frac{1}{n(n+1)}$ using the given method?

Published on 26 Jun 2019 - 1:32

score 222 · Answer 15 · 2019-06-26 11:21:10

222

Views

$\sum_i \sum_j \sum_k (1 \le i \le j \le k \le n) ~~f_i f_j f_k $ in terms of $\sum f_i~, \sum f^2 _i ~\mbox{and}~ \sum f^3 _i $

Published on 26 Jun 2019 - 11:21

List Question

Is there a way to determine what the sum of x to the power m (from 1 to n) evaluates to?

$ \sum_{m=1}^{n} \sum_{k=1}^{m} (-1)^{k+1} H_k ~ ^{n}C_{k} = H_n $

Concrete Mathematics - 2.5 Method 5 Summation of $k^2$

How to prove $\sum\limits_{i=1}^n \sum\limits_{j=1}^n \min\{s_i,s_j\}=\sum\limits_{k=1}^M c_k^2$

Simplifying $(3/2)^i$ for $i = 0$ to $\\(log_2 n) -1$

What is the value of $\rho$ in the prime counting function $\pi(x)$?

When$ f(x) = \sum_{n=0}^{200}a_{n}x^{n}$ satisfy with $f(x)+f(x-1) = (x+1)^{200}$ for all $x\in \mathbb{R}$ , find the value of [detail]

Hyperbolic series similar to Ramanujan’s identities

$\sum_{i = 1}^{n} f(\xi_{n})\Delta x_{i}$ notation explanation

The sum $\sum_{k=0}^{n} (-1)^k \frac{{n \choose k}}{{n+k \choose k}}=\frac{1}{2}$

Please help me understand the following transition in the limit

Sum up to n terms of a series containing binomial coefficients

Finding the sum of an inverse series define by recursion

How to I find a formula for $\frac{1}{1\cdot 2} + \frac{1}{2\cdot 3} + \cdots + \frac{1}{n(n+1)}$ using the given method?

$\sum_i \sum_j \sum_k (1 \le i \le j \le k \le n) ~~f_i f_j f_k $ in terms of $\sum f_i~, \sum f^2 _i ~\mbox{and}~ \sum f^3 _i $

Trending Questions

Popular # Hahtags

Popular Questions