Consecutive Numbers

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Consecutive Numbers
Unit 5 Activity 1
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Can you find any consecutive numbers?
4, 6,
0, 1, 2,
11,
8, 9,
3
0,1,2,3,4,5
6,7,8,9,10
4

• Some totals can be made by adding together 4
  consecutive numbers.
• The first three totals that can be made in this
  way are
• 1 2 3 4
• 2 3 4 5
• 18 3 4 5 6

What is the 4th total that can be made in this
way?
What are the 5th, 6th and 10th totals?
Can you find any others? Is there a pattern?
5
Describe a way of finding the 100th 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 100th number in a sequence is called the
100th term. The nth number is called the nth term.
Investigate totals that can be made by adding
together 5 consecutive numbers
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.