该怎么化简这式子,本人基础较差,顺着可以,逆着就不行了Sn = 2n(n+2)接着就1/Sn = (1/4)[1/n -1/(n+2)],

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该怎么化简这式子,本人基础较差,顺着可以,逆着就不行了
Sn = 2n(n+2)接着就1/Sn = (1/4)[1/n -1/(n+2)],

1/2n(n+2)=(1/2)*(1/n)*(1/(n+2))=(1/2)*(n+2+n)/(n*(n+2))=(1/2)*2(n+1)/(n*(n+2))=(1/4)[1/n -1/(n+2)]