MAXIMA :: NUSUM - Indefinite Hypergeometric Summation
Function:
nusum
(expr, x, i_0, i_1)
indefinite hypergeometric summation of expr with respect to x
Example:
(%i) nusum(k,k,1,n);
(%o) n*(n+1)/2
(%i) nusum(k^7,k,1,n);
(%o) n^2*(n+1)^2*(3*n^4+6*n^3-n^2-4*n+2)/24
(%i) nusum((a+k*d),k,0,n);
(%o) (n+1)*(d*n+2*a)/2
(%i) nusum(a*r^k,k,0,n);
(%o) a*r^(n+1)/(r-1)-a/(r-1)
EXAMPLE:
nusum( k^7, k, 1, n );