Neighbours

Take two numbers that are 'next door neighbours' when you count. These are called consecutive numbers.

Add them together.

Take a few more pairs of two consecutive numbers and add them together.

What is the same about all the answers?

Can you explain what is happening?

 

Now take three consecutive numbers and add them together.

What do you notice this time?

Take some more sets of three consecutive numbers and add them together.

Can you explain what is happening?

 

Explore what happens when you take sets of four consecutive numbers, five consecutive numbers, six, seven ... and add them together.

Can you explain what is happening each time?

Can you predict what will happen when you take sets of

  • 99 consecutive numbers?
  • 100 consecutive numbers?

 

 

 

We'd love you to share how you've tried this and what you've discovered. You can add a comment below, or you can email us - your work may be featured in the showcase.

Comments

when you add 2 consecutive numbers you wll always get an odd number such as 1 + 2 = 3 and 4+5=9

when you add those type of numbers they are always odd

when you add those numbers they are odd.

when you add them they are always even

Thank you all for your comments so far. We seem to have differing opinions!

I wonder whether anyone can convince us that the sum is odd or that the sum is even.

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