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Jamie L Cantore Dec 2014
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1x8+ 1 = 9
12x8+ 2 = 98
123x8+ 3 = 987
1234x8+ 4 = 9876
12345x8+ 5 = 98765
123456x8+ 6 = 987654
1234567x8+ 7 = 9876543
12345678x8 + 8 =98765432
123456789x8 + 9 = 987654321

Also

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1x1= 1
11x11= 121
111x111= 12321
1111x1111= 1234321
11111x11111= 123454321
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1111111x1111111= 12345654321(1.2345e10)
11111111x1111111= 1234567654321(1.234568e12)
11111111x11111111= 123456787654321(1.234568e14)
111111111x111111111= 12345678987654321(1.234568e16)
Note the ascent and descent of the numbers on each side.
1
121
12321
1234321
123454321
12345654321
1234567654321
123456787­654321
1234567654321
12345654321
123454321
1234321
12321
121
1
Jamie L Cantore Feb 2017
Many of you may remember my Mathematical Poetry from a couple of years ago. Here's one I've never posted.

A series of 8 (1's) × a series of 8 (1's)
= 123456787654321

A series of 7 (2's) × same ÷ (2×2)
= 1234567654321

A series of 6 (3's) × same÷ (3×3)
= 12345654321

A series of 5 (4's) × same÷ (4×4)
= 123454321

A series of 4 (5's) × same ÷ ( 5×5)
= 1234321

A series of 3 (6's) × same ÷ (6×6)
= 12321

A series of 2 (7's) × same ÷ (7×7)
= 121

And finally, 1 (8) × same ÷ ( 8×8)
= 1
Simplified for convenience.

— The End —