递等式计算(能简算的要简算)18+215+7856-(12+13)916+34+716+5411-710-31012+310-1512+16+112+…+190.-数学

题目简介

递等式计算(能简算的要简算)18+215+7856-(12+13)916+34+716+5411-710-31012+310-1512+16+112+…+190.-数学

题目详情

递等式计算(能简算的要简算)
1
8
+
2
15
+
7
8
5
6
-(
1
2
+
1
3
9
16
+
3
4
+
7
16
+
5
4
11-
7
10
-
3
10
   
1
2
+
3
10
-
1
5
1
2
+
1
6
+
1
12
+…+
1
90
题型:解答题难度:中档来源:不详

答案

class="stub"1
8
+class="stub"2
15
+class="stub"7
8

=(class="stub"1
8
+class="stub"7
8
)+class="stub"2
15

=1class="stub"2
15


class="stub"5
6
-(class="stub"1
2
+class="stub"1
3
),
=class="stub"5
6
-(class="stub"3
6
+class="stub"2
6
),
=class="stub"5
6
-class="stub"5
6

=0;

class="stub"9
16
+class="stub"3
4
+class="stub"7
16
+class="stub"5
4

=(class="stub"9
16
+class="stub"7
16
)+(class="stub"3
4
+class="stub"5
4
),
=1+2,
=3;

④11-class="stub"7
10
-class="stub"3
10

=11-(class="stub"7
10
+class="stub"3
10
),
=11-1,
=10;

class="stub"1
2
+class="stub"3
10
-class="stub"1
5

=class="stub"5
10
+class="stub"3
10
-class="stub"2
10

=class="stub"6
10

=class="stub"3
5


class="stub"1
2
+class="stub"1
6
+class="stub"1
12
+…+class="stub"1
90

=1-class="stub"1
2
+class="stub"1
2
-class="stub"1
3
+class="stub"1
3
-class="stub"1
4
+…class="stub"1
9
-class="stub"1
10

=1-class="stub"1
10

=class="stub"9
10

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