(Ⅰ)解:依题意,有
,即
S5=70
a72=a2a22
5a1+10d=70 (a1+6d)2=(a1+d)(a1+21d)
解得a1=6,d=4,
∴数列{an}的通项公式为an=4n+2(n∈N*).
(Ⅱ)证明:由(Ⅰ)可得Sn=2n2+4n,
∴
=
an+6 (n+1)Sn
=4n+2+6 (n+1)(2n2+4n)
=4(n+2) 2n(n+1)(n+2)
,2 n(n+1)
∴Tn=2[(1?
)+(1 2
?1 2
)+…+(1 3
?1 n
)]=2(1?1 n+1
),1 n+1
∵{
}是递减数列,且n∈N*,1 n+1
∴0<
≤1 n+1
.∴?1 2