已知数列{an}的前n项和Sn=n的平方+2n,求数列的

2025-04-05 13:21:07
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回答1:

当n=1时,a1=s1=1²+2x1=3 当n≥2时, an=Sn-S(n-1) =n²+2n-[(n-1)²+2(n-1)] =n²+2n-(n²-2n+1+2n-2) =n²+2n-(n²-1) =2n+1 当n=1时,满足an=2n+1 则数列的通项公式an=2n+1