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 224. 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 172. What is the largest number among the consecutive numbers? 3. 8 consecutive whole numbers add up to 68. What is the smallest number among the 8 numbers? 4. What is the 13th term of the following sequence? 24, 15, 6, -3, -12, -21, -30, -39, ... 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 440. What is the smallest number among these 11 numbers? 6. In the following sequence of numbers, 7, 77, 777, 7777, .... What is the tens digit of the sum of the first 23 numbers of the sequence? 7. What is the 90th term in the following sequence? 1.9, 2.1, 2.3, 2.5, 2.7, 2.9, ... 8. 8n is n 8s multiplied together. What is the end digit of 8177? 9. Suppose the sum of 11 consecutive odd numbers is 275. What is the largest number among these 11 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 6th number in the sequence is 46 and its 14th number is 94. What is the 1st number in the sequence? |