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> 一个容器装有1升水,按照如下要求把水倒出:第1次倒出12升水,第2次倒出水量是12升的13,第3次倒出水量是13升的14,第4次倒出水量是14升的15…第n次倒出水量是1n升的1n+1…按照-数学
一个容器装有1升水,按照如下要求把水倒出:第1次倒出12升水,第2次倒出水量是12升的13,第3次倒出水量是13升的14,第4次倒出水量是14升的15…第n次倒出水量是1n升的1n+1…按照-数学
题目简介
一个容器装有1升水,按照如下要求把水倒出:第1次倒出12升水,第2次倒出水量是12升的13,第3次倒出水量是13升的14,第4次倒出水量是14升的15…第n次倒出水量是1n升的1n+1…按照-数学
题目详情
一个容器装有1升水,按照如下要求把水倒出:第1次倒出
1
2
升水,第2次倒出水量是
1
2
升的
1
3
,第3次倒出水量是
1
3
升的
1
4
,第4次倒出水量是
1
4
升的
1
5
…第n次倒出水量是
1
n
升的
1
n+1
…按照这种倒水的方法,这1升水经2006次后还有吗?如有,有多少升?
题型:解答题
难度:中档
来源:不详
答案
∵1-
class="stub"1
2
-
class="stub"1
2
×
class="stub"1
3
-
class="stub"1
3
×
class="stub"1
4
-
class="stub"1
4
×
class="stub"1
5
…-
class="stub"1
2006
×
class="stub"1
2007
,
=1-
class="stub"1
2
-
class="stub"1
2
+
class="stub"1
3
-
class="stub"1
3
+
class="stub"1
4
-
class="stub"1
4
+
class="stub"1
5
…-
class="stub"1
2006
+
class="stub"1
2007
,
=
class="stub"1
2007
,
故按此按照这种倒水的方法,这1升水经2006次后还有
class="stub"1
2007
升水.
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题目简介
一个容器装有1升水,按照如下要求把水倒出:第1次倒出12升水,第2次倒出水量是12升的13,第3次倒出水量是13升的14,第4次倒出水量是14升的15…第n次倒出水量是1n升的1n+1…按照-数学
题目详情
答案
=1-
=
故按此按照这种倒水的方法,这1升水经2006次后还有