2. Consecutive Numbers Unit 5 – Activity 1

3. 0, 1, 2, 4, 6, 8, 9, 11, Can you find any consecutive numbers?

4. 0,1,2,3,4,5 6,7,8,9,10

5. Some totals can be made by adding together 4 consecutive numbers. The first three totals that can be made in this way are: 10 = 1 + 2 + 3 + 4 14 = 2 + 3 + 4 + 5 18 = 3 + 4 + 5 + 6 What is the 4 th total that can be made in this way? What are the 5 th, 6 th and 10 th totals? Can you find any others? Is there a pattern?

6. Describe a way of finding the 100 th total that can be made in this way. What will the total be? Find a way of working out the nth number that can be made in this way. Explain how you did this. The 100 th number in a sequence is called the 100 th term. The nth number is called the nth term. Write down the nth term of the sequence 10, 14, 18, … Is it possible to make the following totals by adding 4 consecutive numbers? Explain your reasoning. 34, 75, 130, 276, 312, 314. Investigate totals that can be made by adding together 5 consecutive numbers