小猪 游戏:有关数列求和问题

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1）1/1*3+1/2*4+1/3*5+……+1/n(n+2)

2)1/1*4+1/4*7+1/7*10+1/(3n-2)(3n+1)

1}
(1/2)[1-1/3+1/2-1/4+1/3-1/5......+1/n-1/(n+2)]
=(1/2)[1+1/2-1/(n+1)-1/(n+2)]
2}
(1/3)[1-1/4+1/4-1/7........+1/(3n-2)-1/(3n+1)]
=(1/3)[1-1/(3n+1)]

1、 (1/2)[1-1/3+1/2-1/4+1/3-1/5......+1/n-1/(n+2)] =(1/2)[1+1/2-1/(n+1)-1/(n+2)]
2、 (1/3)[1-1/4+1/4-1/7........+1/(3n-2)-1/(3n+1)] =(1/3)[1-1/(3n+1)]

1 (1/2)[1-1/3+1/2-1/4+1/3-1/5......+1/n-1/(n+2)] =(1/2)[1+1/2-1/(n+1)-1/(n+2)]
2 (1/3)[1-1/4+1/4-1/7........+1/(3n-2)-1/(3n+1)] =(1/3)[1-1/(3n+1)]

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