(1)
an= a1q^(n-1)
a2,a3的等差中项为S2
a2+a3= 2S2
a1q(1+q) = 2a1(1+q)
q=2
an =2^n
(2)
bn=logan
=n
Tn =b1+b2+...+bn =n(n+1)/2