2,6,15,28,55,( )A.72 B.78 C.86 D.160

作者: tihaiku 人气: - 评论: 0
问题 2,6,15,28,55,( )
选项 A.72 B.78 C.86 D.160
答案 B
解析 数列无明显特征,做差与递推均无规律,且后几项均为合数,考虑因数分解。原数列可分别分解为:1×2,2×3,3×5,4×7,5×11,()。乘号前为连续自然数列,下一项为6;乘号后为连续质数列,下一项为13。则所求项=6×13=78。 故正确答案为B。

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