题目内容
已知{an}是公比为2的等比数列,若a3-a1=6,则a1=______;
+
+…+
=______.
| 1 | ||
|
| 1 | ||
|
| 1 | ||
|
由题意知,a3-a1=6,则a1q2-a1=6,
把q=2代入解得,a1=2,
∴an=2n,∴
=
,
则
+
+…+
=
+
+…+
=
=
(1-4-n),
故答案为:2,
(1-4-n).
把q=2代入解得,a1=2,
∴an=2n,∴
| 1 | ||
|
| 1 |
| 4n |
则
| 1 | ||
|
| 1 | ||
|
| 1 | ||
|
| 1 |
| 4 |
| 1 |
| 42 |
| 1 |
| 4n |
=
| ||||
1-
|
| 1 |
| 3 |
故答案为:2,
| 1 |
| 3 |
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相关题目
已知{an}是公比为q的等比数列,且a1,a3,a2成等差数列,则q=( )
A、1或-
| ||
| B、1 | ||
C、-
| ||
| D、-2 |