已知数列{an}满足an=2^n+2n,求其前n项和Sn
问题描述:
已知数列{an}满足an=2^n+2n,求其前n项和Sn
答
看成两个数列2^n和2n,前者是等比数列,后者是等差数列.2^n的前n项和为2^(n+1)-2,2n的前n项和为n*(n+1)
已知数列{an}满足an=2^n+2n,求其前n项和Sn
看成两个数列2^n和2n,前者是等比数列,后者是等差数列.2^n的前n项和为2^(n+1)-2,2n的前n项和为n*(n+1)