Question

C A Help Seve& 30 Requiree For each of these lists of integers, find sample begins with the given list Assuming that your formula or rule is correct, determine the next three t that terms of the sequence c)1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010, 1011 points The next three terms are1101, 1110, 1210 The next three terms are 1100, 1101, 1110 The next three terms ore moo·mo 1200 The next three terms are 1101, 1110. 1111 Next > 30-31 1 of 47

Answer 1

1, 10, 11, 100, 101, 110, - - These are binary numbers so converting to decimal we get 1 = 1 times 2 = 1 10 = 0.2^0 + 1. 2^1 = 2 11 = 1. 2^0 + 1. 2^1 = 3 100 = 0. 2^0 + 0.2^1 + 1. 2^2 = 4 101 = 1. 2^0 + 0. 2^1 + 1. 2^2 = 5 110 = 0. 2^0 + 1. 2^1 + 1. 2^2 = 6 111 = 1. 2^0 + 1. 2^1 + 1. 2^2 = 7 If we continue till 1011 we get 1011 as 1 times 2^0 + 1. 2^1 + 0. 2^2 + 1. 2^3 = 11 Therefore next twice numbers will be binary representation of 12, 13, 14 Binary representation of 12 is 1100 13 is 1101 14 is 1110 Ans option B