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nusum

nusum(i+1,i,1,10);

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nusum

g(x) := nusum(k,k,1,x);

g(x);

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nusum

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

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nusum

nusum(i*2**i,i,0,m-1);

Calculate

nusum

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

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nusum

f(x,a) := a[2]*x^2+a[...

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

g(y);

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nusum

nusum((i-2)*(a-i-1)*(...

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nusum

nusum(4**i,i,0,m-1);

Calculate

nusum

nusum(i*a**i,i,0,m-1);

Calculate

nusum

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

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

h(x,a,y,b,d,p);

Calculate

nusum

Run Example
(%i1)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)            
Run Example
simplify_sum(sum(1/(k^2), k, 1, inf));
                                         inf
                                         ====
                                         \     1
(%o1)                       simplify_sum( >    --)
                                         /      2
                                         ====  k
                                         k = 1
(%i2)  nusum ((binomial(n,k))^2/binomial(2*n,n), n, 0, n);
                             n
                            ====          2
                            \     binomial (n, k)
(%o2)                        >    ----------------
                            /     binomial(2 n, n)
                            ====
                            n = 0
(%i3)  unsum (%, n);
(%o3)                                  0
(%i4)  unsum (prod (i^2, i, 1, n), n);
                           n - 1
                           /===\
                            ! !   2
(%o4)                     ( ! !  i ) (n - 1) (n + 1)
                            ! !
                           i = 1
(%i5)  nusum (%, n, 1, n);
(%o5)            

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