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What makes the numbers 142[999]857 special?

1/7 = 0.14285714285714..

1/7 = 0.14285714285714..

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What makes the numbers 142[999]857 special?

1/7 = 0.14285714285714..

1/7 = 0.14285714285714..

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arildno

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142+857=999 is not part of the intended solution

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arildno

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But the rest is?

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:uhh: It only repeats as long as numbers exist??? :surprisedAntonVrba said:What makes the numbers 142[999]857 special?

1/7 = 0.14285714285714..

:uhh: Individually they are all less than 10??? :surprised

:uhh: It is a repeating sequence??? :surprised

:uhh: 1+4-2+8-5+7 = 13 and 1-4+2-8+5-7 = -11 with 13-11 = 2 which is "14"/7 and "28"/7 = 4 which is twice 2 and "57" doesn't matter at all because it already has a "7" in it.

It is one of the only short sequence repeating numbers???

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nice try but none of these or others aboveRahmuss said::uhh: 1+4-2+8-5+7 = 13 and 1-4+2-8+5-7 = -11 with 13-11 = 2 which is "14"/7 and "28"/7 = 4 which is twice 2 and "57" doesn't matter at all because it already has a "7" in it.

It is one of the only short sequence repeating numbers???

but I like the bit about repeating but what repeats?

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James R

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For example:

1/17 = 0.0588235294117647 0588235294117647 0588235294117647 ...

2/17 = 0.1176470588235294 1176470588235294 1176470588235294 ...

3/17 = 0.1764705882352941 1764705882352941 1764705882352941 ...

Notice the cyclic nature of the decimal expansion.

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Well... the "142857" repeats; but that isn't really too special. I'm really either not sure what you're asking, or I'm stumped.AntonVrba said:nice try but none of these or others above

but I like the bit about repeating but what repeats?

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2 x 142[999]857 = 285[999]714

3 x 142[999]857 = 428[999]571

upto

6 x 142[999]857= 857[999]124

the product 2x, 3x, 4x, 5x, 6x of 142[999]857 is always a combination of the same numbers, irrespective of how many times you repeat the nine in the middle

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