问题 填空题
lim
n→∞
a[1+4+7+…+(3n-2)]
7n2-5n-2
=6
,则a=______.
答案

lim
n→∞
a[1+4+7+…+(3n-2)]
7n2-5n-2
=6,

lim
n→∞
a[
n
2
(1+3n-2)]
7n2-5n-2
=6,

lim
n→∞
3a
2
n2-
a
2
n
7n2-5n-2
=6,

3a
2
7
=6,

解得a=28.

故答案为:28.

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