数学题一道:1^3+3^3+5^3+……+99^3的值

2025-03-04 11:50:30
推荐回答(2个)
回答1:

1^3+3^3+5^3+……+99^3

=[99*(99+1)/2]^2
=9900^2/4
=24502500

2/3!+3/4!+4/5!+⋯⋯+99/100!

=(1/2!-1/3!)+(1/3!-1/4!)+(1/4!-1/5!)+⋯⋯+(1/99!-1/100!)
=1/2!-1/100!

回答2:

(1)
syms k
a=symsum(k^3,1,99)

a =

24502500
(2)
double(symsum(k/factorial(k+1),2,99))

ans =0.5000