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已知{a
n
}为等差数列,S
n
为其前n项和,若a
1
=1/2,S
2
=a
3
,则a
2
=____,S
n
=____.
分类:
数学(文史类)(高升专)(c0002)
发表:2024年08月13日 11时08分32秒
作者:
admin
阅读:
(2)
已知{a
n
}为等差数列,S
n
为其前n项和,若a
1
=1/2,S
2
=a
3
,则a
2
=____,S
n
=____.
【正确答案】:1;(1/4)n
2
+(1/4)n。因为S
2
=a
3
,所以a
1
+a
1
+d=a
1
+2d⇒d=1/2⇒a
2
=a
1
+d-1,S
n
=(1/4)n(n+1).
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