f(X)=logaX(a>0,a不等1),数列2,f(a1)...f(an),2n+4是等差数列,求an通项

f(X)=logaX(a>0,a不等1),数列2,f(a1)...f(an),2n+4是等差数列,求an通项
f(X)=logaX(a>0,a不等1),数列2,f(a1)...f(an),2n+4是等差数列,求an通项

f(X)=logaX(a>0,a不等1),数列2,f(a1)...f(an),2n+4是等差数列,求an通项
a太多了,换一个m,
f(X)=logmX(m>0,m不等1),数列2,f(a1)...f(an),2n+4是等差数列,求an通项
设b1=2,b2=f(a1),……,b(n+1)=f(an),b(n+2)=2n+4,
bn=2+(n-1)d
b(n+2)=2+(n+1)d=2n+4
(n+1)d=2n+2
d=2
bn=2+2(n-1)=n
b(n+1)=f(an)
=logm(an)
=n+1
an=m^(n+1)
an=a^(n+1)