1/3,1/2,3/7,5/11,4/9,( ?)A.13/29 B.11/27 C.9/25 D.15/31

作者: tihaiku 人气: - 评论: 0
问题 1/3,1/2,3/7,5/11,4/9,( ?)
选项 A.13/29 B.11/27 C.9/25 D.15/31
答案 A
解析 题干为分数数列、且变化趋势不单调,先考虑反约分,得到新数列:1/2、2/4、3/7、5/11、8/18,然后单独看分母和分子。分母成新数列3、4、7、11、18,由3+4=7,4+7=11可知前两项之和等于第三项,故下一项分母为11+18=29。分子成新数列1、2、3、5、8,由1+2=3,2+3=5可知前两项之和等于第三项,故下一项分子为5+8=13。故所求项为:13/29。 故正确答案为A。

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