### Instruction: If a sequence is defined by the recursive formula u(n) = u(n-1) + 6 for n >= 2 and u(1) = 5, what is the value of u(6)?  Answer Choices: (A) 25 (B) 30 (C) 35 (D) 40.### Response: The recursive formula u(n) = u(n-1) + 6 means that each term in the sequence is the previous term increased by 6. We are given that the first term u(1) = 5. We can use this recursive formula to find the next few terms in the sequence: u(2) = u(2-1) + 6 = u(1) + 6 = 5 + 6 = 11 u(3) = u(3-1) + 6 = u(2) + 6 = 11 + 6 = 17 u(4) = u(4-1) + 6 = u(3) + 6 = 17 + 6 = 23 u(5) = u(5-1) + 6 = u(4) + 6 = 23 + 6 = 29 u(6) = u(6-1) + 6 = u(5) + 6 = 29 + 6 = 35 So, the value of u(6) is 35. The answer is B.