题目内容
数列{an}的通项公式是an=
(n∈N*),若前n项的和为
,则项数为( )
| 1 |
| n(n+1) |
| 10 |
| 11 |
| A.12 | B.11 | C.10 | D.9 |
an=
=
-
,(n∈N*)
,前n项的和Sn=(1-
)+(
-
)+…(
-
)=1-
=
当Sn=
时解得n=10
故选C.
| 1 |
| n(n+1) |
| 1 |
| n |
| 1 |
| n+1 |
,前n项的和Sn=(1-
| 1 |
| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| n |
| 1 |
| n+1 |
| 1 |
| n+1 |
| n |
| n+1 |
当Sn=
| 10 |
| 11 |
故选C.
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