问题标题:
等比数列{an},a1=a2+36,a3=a4+4,则Sn=
问题描述:
等比数列{an},a1=a2+36,a3=a4+4,则Sn=
冉文江回答:
a1=a2+36则:a1=a1q+36(1)
a3=a4+4则a1q^2=a1q^3+4(2)
联立1,2解得:q=1/3,a1=54或,q=-1/3,a1=27
所以:Sn=54[1-(1/3)^n]/(1-1/3)
或Sn=27[1-(-1/3)^2]/(1+1/3)
点击显示
数学推荐
热门数学推荐