构造等比数列
an=[3-a(n-1)]/2
a(n-1)=(-1/2)[a(n-1)-1]
数列{an-1}是以a1-1为首项以-1/2为公比的等比数列
an-1=(-1/2)^(n-1)*(a1-1)
由题意得:
an=1+(1-a1)*(-1/2)^(n-1)
=1-(-1/2)^n
构造等比数列
an=[3-a(n-1)]/2
a(n-1)=(-1/2)[a(n-1)-1]
数列{an-1}是以a1-1为首项以-1/2为公比的等比数列
an-1=(-1/2)^(n-1)*(a1-1)
由题意得:
an=1+(1-a1)*(-1/2)^(n-1)
=1-(-1/2)^n