Grand O - Maths
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7/23/2019 Grand O - Maths
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2 + 22 + 222 + 2222 + 22222 + 222222 + 2222222
22 2
2 2 22 2 2 2
2 2 2 2 22 2 2 2 2 2
+ 2 2 2 2 2 2 2
14
4
1
12
1
13
3
1
10
1
11
1
1
8
1
9
9
6
6
4
4
2
2
2469134
14
14 = 10(1) + 4
4
10
1
10
2+22+222+2222+ 101
101 2
2
2 22 2 2
2 2 2 2
2 2 2 2 2 2+ 2 2 2 2 2 2 2
C B A
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A
B
C
101
2
101 2 = 202
2
20
100
2
20 100 2 + 20 = 220
0
22
99
2
22
99 2 + 22 = 220
0
22
A= 2 B = 0 C= 0
101
2
51
50 50 51
51
2
102
52 2 104
106
106
2
C1
C101
sn
n
C51
102
C52
104
C53 106
s53 106
C54
C53
C52
10
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7/23/2019 Grand O - Maths
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s52 104 + 10 = 114
C52
C51
11
s51 102 + 11 = 113
s51 = 113 3
s51 = 113
s51 114 C52 C51
114 102 = 12
s52 120 s52 120
C53 C52 120 104 = 16 s53 160
s53 160 C54 C53 160106 = 54
s54 540 s54 540 C55 C54 540 108 = 432
22
s51 113
3
3
sn n
(n + 1)
cn+1 n n 2 sn = 2n + cn+1
c101 = 20
c100 = c99 = 22 cn 22 n 1 n 101
cn+1 22
n= 98 99 100
sn = 2n + cn+1 2(101) + 22 = 224
cn 22 cn+1 22 cn 22
c101 22 cn 22 n
1 n 101 101
101
s1 10
s1 = 2 +c2 c2 8 s2 80 s2 = 4 + c3
c3 76
101
51
s51 = 102+ c52
s52 = 104 + c53 s53 = 106 + c54 0 c54 22 106 s53 128 10 c53
12
10 c53 12 114 s52 116 c52 = 11
s51 = 113 51
3
