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Harmonic Series
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"n"
n
StartFraction, 1 Over "n" , EndFraction Has graph. To audio trace, press ALT+T.
1
n
Start sum from "i" equals 1 to "n" , end sum, StartFraction, 1 Over "i" , EndFraction Has graph. To audio trace, press ALT+T.
n
∑
i
=
1
1
i
1
1
r1c2: 1
1
r1c3: 1
1
r1c4:
2
2
r2c2: 0.5
0
.
5
r2c3: 1.5
1
.
5
r2c4:
3
3
r3c2: 0.3 3 3 3 3 3 3 3
0
.
3
3
3
3
3
3
3
3
r3c3: 1.8 3 3 3 3 3 3
1
.
8
3
3
3
3
3
3
r3c4:
4
4
r4c2: 0.2 5
0
.
2
5
r4c3: 2.0 8 3 3 3 3 3
2
.
0
8
3
3
3
3
3
r4c4:
5
5
r5c2: 0.2
0
.
2
r5c3: 2.2 8 3 3 3 3 3
2
.
2
8
3
3
3
3
3
r5c4:
6
6
r6c2: 0.1 6 6 6 6 6 6 7
0
.
1
6
6
6
6
6
6
7
r6c3: 2.4 5
2
.
4
5
r6c4:
7
7
r7c2: 0.1 4 2 8 5 7 1 4
0
.
1
4
2
8
5
7
1
4
r7c3: 2.5 9 2 8 5 7 1
2
.
5
9
2
8
5
7
1
r7c4:
88 more rows
Show all
96
9
6
r96c2: 0.0 1 0 4 1 6 6 6 7
0
.
0
1
0
4
1
6
6
6
7
r96c3: 5.1 4 6 7 6 3 1
5
.
1
4
6
7
6
3
1
r96c4:
97
9
7
r97c2: 0.0 1 0 3 0 9 2 7 8
0
.
0
1
0
3
0
9
2
7
8
r97c3: 5.1 5 7 0 7 2 4
5
.
1
5
7
0
7
2
4
r97c4:
98
9
8
r98c2: 0.0 1 0 2 0 4 0 8 2
0
.
0
1
0
2
0
4
0
8
2
r98c3: 5.1 6 7 2 7 6 5
5
.
1
6
7
2
7
6
5
r98c4:
99
9
9
r99c2: 0.0 1 0 1 0 1 0 1
0
.
0
1
0
1
0
1
0
1
r99c3: 5.1 7 7 3 7 7 5
5
.
1
7
7
3
7
7
5
r99c4:
r100c2:
r100c3:
r100c4:
1
Expression 2:
2
3
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powered by
"x"
x
"y"
y
"a" squared
a
2
"a" Superscript, "b" , Baseline
a
b
7
7
8
8
9
9
over
÷
functions
(
(
)
)
less than
<
greater than
>
4
4
5
5
6
6
times
×
| "a" |
|
a
|
,
,
less than or equal to
≤
greater than or equal to
≥
1
1
2
2
3
3
negative
−
A B C
StartRoot, , EndRoot
pi
π
0
0
.
.
equals
=
positive
+
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