25.(2023•闵行区二模)若数列{bn}\{b_{n}\}{bn}、{cn}\{c_{n}\}{cn}均为严格增数列,且对任意正整数nnn,都存在正整数mmm,使得bm∈[cnb_{m}\in [c_{n}bm∈[cn,cn+1]c_{n+1}]cn+1],则称数列{bn}\{b_{n}\}{bn}为数列{cn}\{c_{n}\}{cn}的"MMM数列".已知数列{an}\{a_{n}\}{an}的前nnn项和为SnS_{n}Sn,则下列选项中为假命题的是((( )))