Powerful Digit “9”
If we research on tables, then we got some information.
(1) For the table of 2 -
By multiplication of numbers by 2 we got the following numbers which repeat themselves at some point ─
2 4 6 8 10 12 14 16 18 20 22
2 4 6 8 1 3 5 7 9 2 4
Repeat
Numbers 2 4 6 8 repeated after 9. We write it like this
2 4 6 8 1 3 5 7 9 2 4 if we add these numbers ─
2 + 4 + 6 + 8 +1 + 3 + 5 + 7 + 9 = 45 = 4 + 5 = 9
(2) For the table of 3 -
3 6 9 12 15 18 21 24 27 30
3 6 9 3 6 9 3 6 9 3
During adding we got (3 6 9) which repeat themselves.
Write it like this -
3 + 6 + 9 = 18 = 1 + 8 = 9
(3) For the table of 4 -
4 8 12 16 20 24 28 32 36 40 44
4 8 3 7 2 6 1 5 9 4 8
Repeat
4 + 8 + 3 +7 +2 + 6 + 1 + 5 + 9 = 45 = 4 + 5 = 9
(4) For the table of 5 -
5 10 15 20 25 30 35 40 45 50 55 60
5 1 6 2 7 3 8 4 9 5 1 6
Repeat
5 + 1 + 6 + 2 + 7 + 3 + 8 + 4 + 9 = 45 = 4 + 5 = 9
(5) For the table of 6 -
6 12 18 24 30 36 42 48 54 60
6 3 9 6 3 9 6 3 9 6
6 + 3 + 9 = 45 = 4 + 5 = 9
(6) For 7 table: -
7 14 21 28 35 42 49 56 63 70 77
7 5 3 1 8 6 4 2 9 7 5
7 + 5 + 3 +1 + 8 + 6 + 4 + 2 + 9 = 45 = 4 + 5 = 9
(7) For 8 table :-
8 16 24 32 40 48 56 64 72 80
8 7 6 5 4 3 2 1 9 8
8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 + 9 = 45 = 4 + 5 = 9
(8) For 9 table :-
9 18 24 36 45 54 63 72 81 90
9 9 9 9 9 9 9 9 9 9
9 = 9
Note :
By studying this we get knowledge about two things.
(1) In a specific table repeating of a number or some numbers.
(2) Number 9 in each equation and in the end too.
Playing with Pascal's Triangle, part 1
15 years ago
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