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3,8,17,32,57,()用平方数列变式解答,

题目详情
3,8,17,32,57,()用平方数列变式解答,
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答案和解析
括号内数是100
因为:
3 = 1²+2
8 = 2²+2×2
17 = 3²+2×2×2
32 = 4²+2×2×2×2
57 = 5²+2×2×2×2×2
= 6²+2×2×2×2×2×2
= 100