题目内容
请观察下列等式的规律:
=
(1﹣
),
=
(
﹣
),
=
(
﹣
),
=
(
﹣
),
…
则
+
+
+…+
= .
解:
+
+
+…+![]()
=
(1﹣
)+
(
﹣
)+
(
﹣
)+…+
(
﹣
)
=
(1﹣
+
﹣
+
﹣
+…+
﹣
)
=
(1﹣
)
=
×![]()
=
.
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题目内容
请观察下列等式的规律:
=
(1﹣
),
=
(
﹣
),
=
(
﹣
),
=
(
﹣
),
…
则
+
+
+…+
= .
解:
+
+
+…+![]()
=
(1﹣
)+
(
﹣
)+
(
﹣
)+…+
(
﹣
)
=
(1﹣
+
﹣
+
﹣
+…+
﹣
)
=
(1﹣
)
=
×![]()
=
.