若数列an满足a1=1/3,且对任意正整数m,n都有am+n=am*an.设前n项和为sn,则s10-s9等于?

问题描述:

若数列an满足a1=1/3,且对任意正整数m,n都有am+n=am*an.设前n项和为sn,则s10-s9等于?

令m=1
a(n+1)=a1*an
则an是以a1为公比的等比数据列
an=1/3^n
S10-S9=a10=1/3^10