等差数列{an}的前n项和Sn=n^2+3n 则此数列的公差d?求详解
问题描述:
等差数列{an}的前n项和Sn=n^2+3n 则此数列的公差d?求详解
答
an=Sn-S(n-1)
=n²+3n-(n-1)²-3(n-1)
=2n+4
所以d=a(n+1)-an
=(2n+6)-(2n+4)
=2