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Examples: Sums
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Sums
Finite Sums
compute an indexed sum
sum j^2, j=1 to 100
sum x^k, k=0 to n
sum an incompletely specified sequence of terms
1+2+3+...+10
3+12+27+...+300
Infinite Sums
compute an infinite sum
sum 1/n^2, n=1 to infinity
sum x^k/k!, k=0 to +oo
sum a geometric series
sum (3/4)^j, j=0..infinity
sum x^n, n=0 to +oo
compute a sum over all integers
sum 1/(1+n^2), n=-oo to +oo
compute an infinite sum (limits unspecified)
sum 1/n^2
sum an incompletely specified infinite series
1/2 + 1/4 + 1/8 + 1/16 + ...
 
 
 

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