Que vaut la somme [math]\sum_{n=1}^{\infty } \frac{(-1)^n\, n^3}{2^n} [/math] (on détaillera les calculs) ? - Quora
![Bonjour, je bloque a la question 3.EXERCICESoit (Un) la suite définie par u1 =1/2, et pour tout entier - Nosdevoirs.fr Bonjour, je bloque a la question 3.EXERCICESoit (Un) la suite définie par u1 =1/2, et pour tout entier - Nosdevoirs.fr](https://fr-static.z-dn.net/files/d32/e41319be33283270331937084b7bf887.jpg)
Bonjour, je bloque a la question 3.EXERCICESoit (Un) la suite définie par u1 =1/2, et pour tout entier - Nosdevoirs.fr
![proof writing - Prove for all n∈N $1^2+3^2+5^2+...+(2n-1)^2=\frac{4n^3-n}{3}$ - Mathematics Stack Exchange proof writing - Prove for all n∈N $1^2+3^2+5^2+...+(2n-1)^2=\frac{4n^3-n}{3}$ - Mathematics Stack Exchange](https://i.stack.imgur.com/gkQWr.png)
proof writing - Prove for all n∈N $1^2+3^2+5^2+...+(2n-1)^2=\frac{4n^3-n}{3}$ - Mathematics Stack Exchange
![summation - Confusion about how to prove $\sum_{i=0}^n 2^i = 2^{n+1}-1$ for all $n\geq 0$ by induction - Mathematics Stack Exchange summation - Confusion about how to prove $\sum_{i=0}^n 2^i = 2^{n+1}-1$ for all $n\geq 0$ by induction - Mathematics Stack Exchange](https://i.stack.imgur.com/NauCL.jpg)
summation - Confusion about how to prove $\sum_{i=0}^n 2^i = 2^{n+1}-1$ for all $n\geq 0$ by induction - Mathematics Stack Exchange
![summation - Is there any. elementary formula for the sequence$\sum_{k=1}^{n }\left(2k-1\right)\left(\frac{1}{2}\right)^{k}$ - Mathematics Stack Exchange summation - Is there any. elementary formula for the sequence$\sum_{k=1}^{n }\left(2k-1\right)\left(\frac{1}{2}\right)^{k}$ - Mathematics Stack Exchange](https://i.stack.imgur.com/mMJNf.png)