作者catspace (柏拉图的永恒...)
看板GMAT
标题Re: [机经] 几题机经
时间Wed Sep 24 15:40:10 2008
: 272.数列x1,x2,x3.。。。xn。x1=3.已知xn+1=2xn-1,求x20-x19
: 没有给答案, 可是我觉得题目如果没有给X2的实际数字这提不能算??
X20-X19
= [2(X19)-1] - X19
= X19 - 1
= [2(X18)-1] - 1
= 2(X18) - 2
= 2[2(X17)-1] - 2
= 4(X17) - 4
= 2^2(X17) - 2^2
..............
= 2^18(X1) - 2^18
= 2^18(X1-1)
= 2^18*2
= 2^19 #
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1F:推 oranger:了解了!!谢谢你的说明!! 09/25 00:32