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化简:4n+3×4n-1+32×4n-2+…+3n-1×4+3n
人气:106 ℃ 时间:2020-04-06 20:34:14
解答
设Sn=4n+3×4n-1+32×4n-2+…+3n-1×4+3n
4
3
Sn
4n+1
3
+4n+3×4n−1+32×4n−2
+…+3n-2×42+3n-1×4,
两式相减,得
1
3
Sn
=
1
3
×4n+13n

Sn4n+13n+1
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