(1)当n=1时,a1=3,--------------1’
当n≥2时,an=Sn-Sn-1=-2n2+5n-[-2(n-1)2+5(n-1)]=-4n+7---------------3’
当n=1时满足通项公式,∴an=-4n+7---------4’
(2)∵n1≠n2,
=q,
n1+n2
2
∴
?Sq=
Sn1+Sn2
2
(?21 2
+5n1?2
n
+5n2)?(?2q2+5q)----6’
n
=
[?2(1 2
+
n
)+10q]+2q2?5q=?(
n
+
n
)+2(
n
)2=?
n1+n2
2
[21 2
+2
n
?(n1+n2)2]=
n
(n1?n2)2<0-------10’1 2
∴
>Sq-----------12’
Sn1+Sn2
2