问题 选择题
数列7,77,777,7777,…
n个7
77…7
,…的前n项和为(  )
A.
7
9
(10n-1)
B.
70
9
(10n-1)
C.
7
9
[
10
9
(10n-1)]-1
D.
7
9
[
10
9
(10n-1)-n]
答案

n个7
77…7
=
7
9
(10n-1),故前n项和为

Sn=

7
9
(10-1)+
7
9
(102-1)+…+
7
9
(10n-1)

=

7
9
[(10+102+…+10n)-n]

=

7
9
[
10
9
(10n-1)-n]

故选D.

选择题
单项选择题