設(shè)等差數(shù)列{an}的公差d是2,前n項(xiàng)的和為Sn,則limn→∞a2n?n2Sn=_.
設(shè)等差數(shù)列{a
n}的公差d是2,前n項(xiàng)的和為S
n,則
=______.
優(yōu)質(zhì)解答
由公差d=2,得到a
n=a
1+2(n-1)=2n+a
1-2,S
n=na
1+
×2=n
2+n(a
1-1)
則
=
3n2+4(a1?2)n+(a1?2)2 |
n2+n(a1?1) |
=
=3
故答案為3.
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