2, 10, 27 ,51 , 88,( )。A. 111 B. 125 C. 136 D. 142

作者: tihaiku 人气: - 评论: 0

问题 2, 10, 27 ,51 , 88,( )。

选项 A. 111 B. 125 C. 136 D. 142

答案 C

解析这是一个二级等差数列的变式，后项减去前项：10-2 = 8 = 32 -1，27 - 10 = 17 = 42+1，51-27 = 24 = 52 -1，88-51 = 37 = 62+1，可知后项减去前项的差为n2±1，n是首项为3的自然递增数列（n为奇数时为“-”，n为偶数时为“ + ”）。那么下一项应为72-1 = 48，故空缺项应为48 + 88 = 136，所以选C。

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2, 10, 27 ,51 , 88,( )。A. 111 B. 125 C. 136 D. 142

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