Newbetuts

Finding $\frac{3}{1!+2!+3!}+\frac{4}{2!+3!+4!} +\frac{5}{3!+4!+5!}+\cdots+\frac{2008}{2006!+2007!+2008!}$ [duplicate]

Integral involving a dilogarithm versus an Euler sum.

Random sum of random variables

Prove that $\sum\limits_{i=0}^{k} p^{2i}$ ($p$ is prime) is never a perfect square

How many methods to this limit $\lim_{n\to\infty}\left(\frac{1}{2}+\frac{3}{2^2}+\cdots+\frac{2n-1}{2^n}\right)$

Limit of sum with binomial coeffs

How to prove formula related to $2$-adic valuation / $2$-adic absolute value and binary expansion

Evaluation of the sum $\sum_{i=1}^{\lfloor na \rfloor} \left \lfloor ia \right \rfloor $

Partial sums of falling factorials

My visual interpretation of $1+2+3+ \dots +n$

On an asymptotic improvement of AMM problem 11145 (April 2005)

How would you prove $\sum_{i=1}^{n} (3/4^i) < 1$ by induction?

Is there a closed form expression for the "generalized" addition of the first $n$ numbers?

Summation of $\sum_{n=0}^{\infty}a^nq^{n^2}$

Proof for $\log\frac{2n+1}{n+1}<\frac{1}{n+1}+\frac{1}{n+2}+...+\frac{1}{2n}<\log 2$

New posts in summation

How can I prove these summations for the legendre symbol

summation of sine angle in AP

Finding an asymptotic for the sum $\sum_{p\leq x}p^m$ [duplicate]

Challenge: How to prove this identity between bi- and trinomial coefficients?

Convergence of a sequence, $a_n=\sum_1^nn/(n^2+k)$

Finding $\frac{3}{1!+2!+3!}+\frac{4}{2!+3!+4!} +\frac{5}{3!+4!+5!}+\cdots+\frac{2008}{2006!+2007!+2008!}$ [duplicate]

Integral involving a dilogarithm versus an Euler sum.

Random sum of random variables

Prove that $\sum\limits_{i=0}^{k} p^{2i}$ ($p$ is prime) is never a perfect square

How many methods to this limit $\lim_{n\to\infty}\left(\frac{1}{2}+\frac{3}{2^2}+\cdots+\frac{2n-1}{2^n}\right)$

Limit of sum with binomial coeffs

How to prove formula related to $2$-adic valuation / $2$-adic absolute value and binary expansion

Evaluation of the sum $\sum_{i=1}^{\lfloor na \rfloor} \left \lfloor ia \right \rfloor $

Partial sums of falling factorials

My visual interpretation of $1+2+3+ \dots +n$

On an asymptotic improvement of AMM problem 11145 (April 2005)

How would you prove $\sum_{i=1}^{n} (3/4^i) < 1$ by induction?

Is there a closed form expression for the "generalized" addition of the first $n$ numbers?

Summation of $\sum_{n=0}^{\infty}a^nq^{n^2}$

Proof for $\log\frac{2n+1}{n+1}<\frac{1}{n+1}+\frac{1}{n+2}+...+\frac{1}{2n}<\log 2$