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 322. 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 348. What is the largest number among the consecutive numbers? 3. 7 consecutive whole numbers add up to 77. What is the smallest number among the 7 numbers? 4. What is the 9th term of the following sequence? 28, 22, 16, 10, 4, -2, -8, -14, ... 5. The numbers 2, 4, 6, and 8 are a set of four consecutive even numbers. Suppose the sum of 11 consecutive even numbers is 682. What is the smallest number among these 11 numbers? 6. In the following sequence of numbers, 1, 11, 111, 1111, .... What is the tens digit of the sum of the first 28 numbers of the sequence? 7. What is the 120th term in the following sequence? 1.7, 1.9, 2.1, 2.3, 2.5, 2.7, ... 8. 8n is n 8s multiplied together. What is the end digit of 8169? 9. Suppose the sum of 7 consecutive odd numbers is 175. What is the largest number among these 7 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 8th number in the sequence is 67 and its 13th number is 107. What is the 1st number in the sequence? |