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If arithmetic progression did not exist you would not be able to count beyond 1, 2. Since 3 is the next number in the arithmetic progression. In effect there would be no arithmetic and no mathematics.

And before you cheer at the thought of one less subject to study, there would be no technology. You would still be living in a cave and have to do everything for yourself - since any kind of trade requires valuing what you have to "sell" or "buy" and that requires some form of counting.

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Q: What happen if arithmetic progressions does not exist?
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