maple 可以用求和公式吗?
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可以
> add(k, k = 1 .. 100)
5050
sum(k, k = 1 .. n)
(1/2)*(n+1)^2-(1/2)*n-1/2
sum(k^2, k = 1 .. n)
(1/3)*(n+1)^3-(1/2)*(n+1)^2+(1/6)*n+1/6
sum(k^3, k = 1 .. n)
(1/4)*(n+1)^4-(1/2)*(n+1)^3+(1/4)*(n+1)^2
sum(1/factorial(k), k = 0 .. infinity)
e
sum((-1)^k/(2*k+1), k = 0 .. infinity)
(1/4) π
> add(k, k = 1 .. 100)
5050
sum(k, k = 1 .. n)
(1/2)*(n+1)^2-(1/2)*n-1/2
sum(k^2, k = 1 .. n)
(1/3)*(n+1)^3-(1/2)*(n+1)^2+(1/6)*n+1/6
sum(k^3, k = 1 .. n)
(1/4)*(n+1)^4-(1/2)*(n+1)^3+(1/4)*(n+1)^2
sum(1/factorial(k), k = 0 .. infinity)
e
sum((-1)^k/(2*k+1), k = 0 .. infinity)
(1/4) π
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