问题
选择题
数列7,77,777,7777,…
|
答案
∵
=n个7 77…7
(10n-1),故前n项和为7 9
Sn=
(10-1)+7 9
(102-1)+…+7 9
(10n-1)7 9
=
[(10+102+…+10n)-n]7 9
=
[7 9
(10n-1)-n]10 9
故选D.
数列7,77,777,7777,…
|
∵
=n个7 77…7
(10n-1),故前n项和为7 9
Sn=
(10-1)+7 9
(102-1)+…+7 9
(10n-1)7 9
=
[(10+102+…+10n)-n]7 9
=
[7 9
(10n-1)-n]10 9
故选D.