求數例的和

200000/1+200000/2+20 0000/3+...+200000/n
=200000*(1+1/2+1/3+...+1/n)
(1+1/2+1/3+...+1/n)冇通項公式
以下列出n=1-100時200000/1+200000/2+20 0000/3+...+200000/n 的和






n
sum

1
200000

2
300000

3
366666.7

4
416666.7

5
456666.7

6
490000

7
518571.4

8
543571.4

9
565793.7

10
585793.7

11
603975.5

12
620642.1

13
636026.8

14
650312.5

15
663645.8

16
676145.8

17
687910.5

18
699021.6

19
709547.9

20
719547.9

21
729071.7

22
738162.7

23
746858.3

24
755191.6

25
763191.6

26
770883.9

27
778291.4

28
785434.2

29
792330.8

30
798997.4

31
805449

32
811699

33
817759.6

34
823642

35
829356.3

36
834911.8

37
840317.2

38
845580.4

39
850708.6

40
855708.6

41
860586.7

42
865348.6

43
869999.7

44
874545.2

45
878989.6

46
883337.4

47
887592.8

48
891759.4

49
895841.1

50
899841.1

51
903762.6

52
907608.8

53
911382.4

54
915086.1

55
918722.4

56
922293.9

57
925802.6

58
929250.9

59
932640.7

60
935974.1

61
939252.8

62
942478.6

63
945653.2

64
948778.2

65
951855.1

66
954885.4

67
957870.5

68
960811.7

69
963710.2

70
966567.4

71
969384.3

72
972162

73
974901.8

74
977604.5

75
980271.1

76
982902.7

77
985500.1

78
988064.2

79
990595.9

80
993095.9

81
995565

82
998004

83
1000414

84
1002795

85
1005148

86
1007473

87
1009772

88
1012045

89
1014292

90
1016514

91
1018712

92
1020886

93
1023036

94
1025164

95
1027269

96
1029353

97
1031414

98
1033455

99
1035476

100
1037476