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【OG20-P176-198题】
In a certain sequence, the term xn is given by the formula xn=2xn−1−12 (xn−2) for all n≥2 . If x0 =3 and x1 = 2, what is the value of x3 ?
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x2=5/2,带入x3=2x2-0.5x1=5-1=4
题目讨论 (2条评论)

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emily666
先算x2,再算x3
1
0 回复 2020-04-03 21:49:05
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oasis
这题的题干中公式实在是有歧义,表意特别不清晰,对这个公式正确的理解应是Xn =(2*Xn-1)- [1/2*(Xn-2)]
将X0=3和X1=2代入后为X2=(2*X0)-[1/2*X1]=(2*2)-(1/2*3)=4-3/2=2/5
然后再将X2代入X3=(2*X2)-(1/2*X1)中,得出X3=(2*2/5)-(1/2*2)=5-1=4
1
0 回复 2017-11-22 11:40:25