meili 发表于 2022-10-27 16:04:00

【数列{an},{bn}满足anbn=1,an=n2+3n+2,则{bn}的前十项的和为】

<p>问题:【数列{an},{bn}满足anbn=1,an=n2+3n+2,则{bn}的前十项的和为】
<p>答案:↓↓↓<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">李小舟的回答:<div class="content-b">网友采纳  bn=1/(n2+3n+2)  =1/((n+1)(n+2))  S10=1/(2*3)+1/(3*4).+1/(11*12)  =1/2-1/3+1/3-.+1/11-1/12  =1/2-1/12  =5/12
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