Math Tutorial Series
Arithmetic Progression
Higher Order (Part 3)
Un : Linear Equation Solver
Musical
English Subtitle
Arithmetic Progression
Higher Order
Method 2 : Linear Equation Solver
“
Leonardo Sembiring
leonardo.sembiring@gmail.com
'k' is the highest power of 'n'
=
Un
P0
+
P1n
+
Pknk
+ .........
Arithmetic Progression Order k
=
Pk
a0
k!
P0
=
ak
_
ak-1
a0
+
.........
ak-2
_
Pk-1nk-1
(sign + and alternately)
_
P0
Pk
+
1
arithmetic progression
a0
a1
17
13
9
4
4
4
5
4
1
subtract
put
1
4
=
-3
sign + and - alternately
P0
=
arithmetic progression order 1
1
P
=
!
=
4
1
=
4
=
=
=
4
17
13
9
5
1
P0
=
P1
=
=
Un
P0
P1n
+
4
-3
=
-3
4.n
+
=
3
4n
4
-3
Un
arithmetic progression order 1
2
2
2
2
arithmetic progression
a0
a1
a2
33
22
13
11
9
7
2
2
6
5
1
subtract
put
=
1
5
+
=
-2
sign + and - alternately
P0
=
+
arithmetic progression order 2
2
P
=
!
=
2
2
=
1
=
33
22
13
6
1
P0
=
P2
=
=
Un
P0
P1n
+
1
-2
=
-2
1.n2
+
+
P2n2
P1n
+
Un
=
2
n2
P1n
+
Un
=
2
12
P1.1
+
U1
=
1
2
1
P1
+
=
1
P1
=
2
=
2
n2
2n
+
Un
1
1
-2
arithmetic progression order 2
first term
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