求和:Sn=-1-(5/9)-(7/27)+.+(-2n-1)(1/3)^n
问题描述:
求和:Sn=-1-(5/9)-(7/27)+.+(-2n-1)(1/3)^n
答
Sn=-1-(5/9)-(7/27)+.+(-2n+1)(1/3)^(n-1)+(-2n-1)(1/3)^n3Sn=(-3)*(1/3)^0+(-5)*(1/3)^1+.+(-2n-1)(1/3)^(n-1)两式相减:2Sn=(-3)*(1/3)^0+(-2)[(1/3)^1+(1/3)^2+(1/3)^3+.+(1/3)...