### Related

##### nusum

nusum(a^n,n,1,N);

Calculate

##### nusum-ratsimp-true

ratsimp(x*(4*x^2+9*x-...

nusum((2*k-1)*(k+1),k...

sum(2*k^2+k-1,k,1,n),...

Calculate

##### nusum

nusum(k*(2*k+1),k,1,n);

Calculate

##### nusum

nusum(i*i*i,i,1,n);

Calculate

##### nusum

f(x,a,y,b,d,p) := p[0...

g(y) := nusum(f(k,a,y...

g(y);

Calculate

sum(k,k,1,n);

nusum(k,k,1,n);

Calculate

##### nusum

nusum(((2*n)!/((n)!*(...

Calculate

##### nusum

nusum(k*(3*k+1),k,1,n);

Calculate

##### nusum-ratsimp-true

f(x):=3*x^2-2*x;

ratsimp(f(x)-f(x-1));

nusum((2*k-1)*(k+1),k...

Calculate

nusum(n,n,1,A);

Calculate

### nusum

Run Example
```(%i1)ratsimp(x*(4*x^2+9*x-1)/6-x*(x+1)*(2*x+1)/3-x*(x+1)/2);
(%o1)                                 - x
(%i2) nusum((2*k-1)*(k+1),k,1,n);
2
n (4 n  + 9 n - 1)
(%o2)                         ------------------
6
(%i3) sum(2*k^2+k-1,k,1,n);
n
====
\         2
(%o3)                         >    (2 k  + k - 1)
/
====
k = 1
(%i4) ```
Run Example
```sum(((A^n-A^k)/(A^n-1))/A^k,k,0,n-1);
n - 1
====   n    k
\     A  - A
>    -------
/        k
====    A
k = 0
(%o1)                            -------------
n
A  - 1
(%i2) simplify(%);
(%o2)        simplify(nusum(A^(n-k)-1,k,0,n-1);
```
Run Example
```sum (n^4*4^n/binomial(2*n,n), n, 0, inf);
inf
====        4  n
\          n  4
(%o1)                        >    ----------------
/     binomial(2 n, n)
====
n = 0
(%i2)  unsum (%, n);
(%o2)                                  0
(%i3)  unsum (prod (i^2, i, 1, n), n);
n - 1
/===\
! !   2
(%o3)                     ( ! !  i ) (n - 1) (n + 1)
! !
i = 1
(%i4)  nusum (%, n, 1, n);
(%o4)            ```

Help for Nusum