More Beauty In Math

The last time we toyed with numbers, we admired the symmetric array produced by massively multiplying bunches of ones (see post 20120409).  Today we operate on an ascending sequence to develope a descending pattern.  Everything is really going the right way – multiplying and adding do indeed give us larger numbers each time but the digits roll off in a delightful way.  Maybe the government could use this technique to make our collective debt seem less frightening.

1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321

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