Hidden Label: left parenthesis, "n" , Start sum from "k" equals 1 to "n" , end sum, StartFraction, left parenthesis, negative 1 , right parenthesis Superscript, left parenthesis, "k" minus 1 , right parenthesis , Baseline left parenthesis, floor left parenthesis, StartNestedFraction, "k" NestedOver 2 , EndNestedFraction , right parenthesis plus 1 , right parenthesis Over floor left parenthesis, StartNestedFraction, "k" NestedOver 2 , EndNestedFraction , right parenthesis plus 2 , EndFraction , right parenthesis equals a list of points. 200 items Has graph. To audio trace, press ALT+T.n,n∑k=1−1k−1floork2+1floork2+2
Label
equals=
left parenthesis, 1 , 0.5 , right parenthesis1,0.5
left parenthesis, 2 , negative 0.1 6 6 7 , right parenthesis2,−0.1667
left parenthesis, 3 , 0.5 , right parenthesis3,0.5
left parenthesis, 4 , negative 0.2 5 , right parenthesis4,−0.25
left parenthesis, 5 , 0.5 , right parenthesis5,0.5
left parenthesis, 6 , negative 0.3 , right parenthesis6,−0.3
left parenthesis, 7 , 0.5 , right parenthesis7,0.5
left parenthesis, 8 , negative 0.3 3 3 3 , right parenthesis8,−0.3333
left parenthesis, 9 , 0.5 , right parenthesis9,0.5
left parenthesis, 10 , negative 0.3 5 7 1 , right parenthesis10,−0.3571
left parenthesis, 11 , 0.5 , right parenthesis11,0.5
left parenthesis, 12 , negative 0.3 7 5 , right parenthesis12,−0.375
left parenthesis, 13 , 0.5 , right parenthesis13,0.5
left parenthesis, 14 , negative 0.3 8 8 9 , right parenthesis14,−0.3889
left parenthesis, 15 , 0.5 , right parenthesis15,0.5
200 element list
7
↓(4)は1/4に収束
8
Hidden Label: left parenthesis, "n" , Start sum from "k" equals 1 to "n" , end sum, StartFraction, 1 Over left parenthesis, "k" plus 1 , right parenthesis cubed minus left parenthesis, "k" plus 1 , right parenthesis , EndFraction , right parenthesis equals a list of points. 200 items Has graph. To audio trace, press ALT+T.n,n∑k=11k+13−k+1
Label
equals=
left parenthesis, 1 , 0.1 6 6 7 , right parenthesis1,0.1667
left parenthesis, 2 , 0.2 0 8 3 , right parenthesis2,0.2083
left parenthesis, 3 , 0.2 2 5 , right parenthesis3,0.225
left parenthesis, 4 , 0.2 3 3 3 , right parenthesis4,0.2333
left parenthesis, 5 , 0.2 3 8 1 , right parenthesis5,0.2381
left parenthesis, 6 , 0.2 4 1 1 , right parenthesis6,0.2411
left parenthesis, 7 , 0.2 4 3 1 , right parenthesis7,0.2431
left parenthesis, 8 , 0.2 4 4 4 , right parenthesis8,0.2444
left parenthesis, 9 , 0.2 4 5 5 , right parenthesis9,0.2455
left parenthesis, 10 , 0.2 4 6 2 , right parenthesis10,0.2462
left parenthesis, 11 , 0.2 4 6 8 , right parenthesis11,0.2468
left parenthesis, 12 , 0.2 4 7 3 , right parenthesis12,0.2473
left parenthesis, 13 , 0.2 4 7 6 , right parenthesis13,0.2476
left parenthesis, 14 , 0.2 4 7 9 , right parenthesis14,0.2479
left parenthesis, 15 , 0.2 4 8 2 , right parenthesis15,0.2482