(1)设等差数列{an}的公差为d,∵a2=4,S5=30,∴
,解得
a1+d=4 5a1+
d=305×4 2
.
a1=2 d=2
∴an=a1+(n-1)d=2+2(n-1)=2n.
(2)∵bn=
+2n?1=4
anan+1
+2n?1=(4 2n?2(n+1)
?1 n
)+2n?1.1 n+1
∴Tn=(1?
)+(1 2
?1 2
)+…+(1 3
?1 n
)+1 n+1
2n?1 2?1
=1?
+2n?1=2n?1 n+1
.1 n+1