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 182. 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 396. What is the largest number among the consecutive numbers? 3. 7 consecutive whole numbers add up to 63. What is the smallest number among the 7 numbers? 4. What is the 16th term of the following sequence? 21, 14, 7, 0, -7, -14, -21, -28, ... 5. The numbers 2, 4, 6, and 8 are a set of four consecutive even numbers. Suppose the sum of 13 consecutive even numbers is 702. What is the smallest number among these 13 numbers? 6. In the following sequence of numbers, 8, 88, 888, 8888, .... What is the tens digit of the sum of the first 33 numbers of the sequence? 7. What is the 140th term in the following sequence? 1.8, 2.5, 3.2, 3.9, 4.6, 5.3, ... 8. 8n is n 8s multiplied together. What is the end digit of 8134? 9. Suppose the sum of 10 consecutive odd numbers is 200. What is the largest number among these 10 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 4th number in the sequence is 32 and its 13th number is 104. What is the 1st number in the sequence? |