等比数列 an =(-1/4)^n,设bn=log以4为底an的绝对值的对数

问题描述:

等比数列 an =(-1/4)^n,设bn=log以4为底an的绝对值的对数
求出来bn=-n,1/bn*bn+1等于多少

an=(-1/4)ⁿ
bn=log4|(-1/4)ⁿ|=log4[(1/4)ⁿ]=-n
1/[bnb(n+1)]
=1/[(-n)(-(n+1)]
=1/[n(n+1)]
=1/n - 1/(n+1)