meili 发表于 2022-10-27 14:44:19

(2023•哈尔滨模拟)数列{an}满足下列条件:a1=1,且对于任意的正整数n,恒有a2n=an+n,则a2023=()A.2023B.2023C.512D.2023

<p>问题:(2023•哈尔滨模拟)数列{an}满足下列条件:a1=1,且对于任意的正整数n,恒有a2n=an+n,则a2023=()A.2023B.2023C.512D.2023
<p>答案:↓↓↓<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">罗强一的回答:<div class="content-b">网友采纳  因为对于任意的正整数n,恒有a2n=an+n,所以:a1024=a512+512=a512+29=a256+256+512=a256+28+29=a128+128+256=a128+27+28+29=a64+26+27+28+29=…=a2+22+23+…+28+29=a1+1+21+22+…+28+29=1+1+21+22+…+28+29=1+1−21...
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