题目内容
5+55+555+…
解析:原式=
(9+99+999+…+
)
=
[(10-1)+(102-1)+(103-1)+…+(10n-1)]
=
(10+102+…+10n-n)
=
(
-n)
=
(10n+1-9n-10).
答案:
(10n+1-9n-10).
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题目内容
5+55+555+…
解析:原式=
(9+99+999+…+
)
=
[(10-1)+(102-1)+(103-1)+…+(10n-1)]
=
(10+102+…+10n-n)
=
(
-n)
=
(10n+1-9n-10).
答案:
(10n+1-9n-10).