Answer to Question #342735 in Discrete Mathematics for joey

Question

1.      Provide a simple formula or rule that generates the terms of an integer sequence that begins with the given list. Assuming that your formula or rule is correct, determine the next three terms of the sequence.

1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1,…

Answer 1

Rule: The numbers "1" come first, followed by "0". Then this block is repeated, but the number of digits "1" and "0" becomes 1 more. The next three terms of the sequence are 1,1,1.