100=S10=(10/2)(a1+a10)
a1+a10=20
a1+(a1+9d)=20
2a1+9d=20....................................(1)
300=S20=(20/2)(a1+a20)
a1+a20=30
a1+(a1+19d)=30
2a1+19d=30...............................(2)
(2)-(1)得:
10d=10
d=1
a1=11/2
S100=(100/2)(a1+a100)=50(2a1+99d)=50(11+99)=50*110=5500