设集合W是满足下列两个条件的无穷数列{a n }的集合: ① ② ,其中n∈N * ,M是与n无关的常数 (1)若{a n }是等差数列,S n 是其前n项的和,a 3 =4,S 3 =18,试探究{S n }与集合W之间的关系; (2)设数列{b n }的通b n =5n-2n,且{b n }∈W,M的最小值为m,求m的值; (3)在(2)的条件下,设 ,求证:数列{C n }中任意不同的三项都不能成为等比数列.
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