On subsequences of arithmetic sequences

A property of subsequences in arithmetic or decimal sequences is proved. This property has a somewhat similar counterpart for linear-feedback shift register (LFSR) sequences discovered by J.L. Massey (1969). However, it is proved in a different manner, and the limit bound is two units away from the corresponding LFSR property. This property holds for any radix, but the conditions depend somewhat on the radix.<
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