题目内容
练习:求数列1,3+
,32+
,…,3n+
的各项的和.
1 |
3 |
1 |
32 |
1 |
3n |
设数列1,3+
,32+
,…,3n+
的各项的和为Sn.
则Sn=1+3+32+…+3n+
+
+…+
=
+
=
(3n+1-1)+
(1-
)
=
(3n+1-
).
1 |
3 |
1 |
32 |
1 |
3n |
则Sn=1+3+32+…+3n+
1 |
3 |
1 |
32 |
1 |
3n |
=
3n+1-1 |
3-1 |
| ||||
1-
|
=
1 |
2 |
1 |
2 |
1 |
3n |
=
1 |
2 |
1 |
3n |
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