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 378. 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 444. What is the largest number among the consecutive numbers? 3. 5 consecutive whole numbers add up to 55. What is the smallest number among the 5 numbers? 4. What is the 9th term of the following sequence? 22, 16, 10, 4, -2, -8, -14, -20, ... 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 468. What is the smallest number among these 13 numbers? 6. In the following sequence of numbers, 2, 22, 222, 2222, .... What is the tens digit of the sum of the first 30 numbers of the sequence? 7. What is the 110th term in the following sequence? 1.8, 2.4, 3, 3.6, 4.2, 4.8, ... 8. 8n is n 8s multiplied together. What is the end digit of 8127? 9. Suppose the sum of 5 consecutive odd numbers is 135. What is the largest number among these 5 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 9th number in the sequence is 24 and its 11th number is 28. What is the 1st number in the sequence? |