Number Sequences( Week 32 Evaluation) 1. Consecutive numbers are whole numbers that follow in order such as 2, 3, 4, 5 and 6. There are seven consecutive numbers whose sum is 49. What is the smallest number among the consecutive numbers? 2. Consecutive numbers are whole numbers that follow in order such as 2, 3, 4, 5 and 6. There are eight consecutive numbers whose sum is 412. What is the largest number among the consecutive numbers? 3. 8 consecutive whole numbers add up to 84. What is the smallest number among the 8 numbers? 4. What is the 18th term of the following sequence? 29, 22, 15, 8, 1, -6, -13, -20, ... 5. The numbers 2, 4, 6, and 8 are a set of four consecutive even numbers. Suppose the sum of 10 consecutive even numbers is 390. What is the smallest number among these 10 numbers? 6. In the following sequence of numbers, 9, 99, 999, 9999, .... What is the tens digit of the sum of the first 31 numbers of the sequence? 7. What is the 110th term in the following sequence? 1.8, 2.6, 3.4, 4.2, 5, 5.8, ... 8. 8n is n 8s multiplied together. What is the end digit of 8191? 9. Suppose the sum of 6 consecutive odd numbers is 156. What is the largest number among these 6 odd numbers? 10. In an arithmetic sequence, the next number in the sequence is obtained by adding a fixed number (step) to the current number. For example, a natural number sequence 1, 2, 3, ..., 10, 11, ... starts with 1 and has a step of 1. Now there is a new arithmetic sequence. Its 5th number in the sequence is 31 and its 12th number is 52. What is the 1st number in the sequence? |