1+12+(13+23)+(14+24+34)+…+(150+250+350+…+4850+4950).-数学

题目简介

1+12+(13+23)+(14+24+34)+…+(150+250+350+…+4850+4950).-数学

题目详情

1+
1
2
+(
1
3
+
2
3
)+(
1
4
+
2
4
+
3
4
)+…+(
1
50
+
2
50
+
3
50
+…+
48
50
+
49
50
)
题型:解答题难度:中档来源:不详

答案

1+class="stub"1
2
+(class="stub"1
3
+class="stub"2
3
)+(class="stub"1
4
+class="stub"2
4
+class="stub"3
4
)+…+(class="stub"1
50
+class="stub"2
50
+class="stub"3
50
+…+class="stub"48
50
+class="stub"49
50
),
=1+class="stub"1
2
+class="stub"2
2
+class="stub"3
2
+…+class="stub"49
2

=1+class="stub"1+2+…+49
2

=1+
(1+49)×49÷2
2

=1+class="stub"50×49÷2
2

=1+612.5,
=613.5.

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