1. Pathways
  2. Seeing is Believing
  3. Chocolate and Numbers
  4. Neighbours

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?

 

 

 

Comments

Submitted by Atiya on Mon, 11/28/2016 - 15:03

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

Submitted by Riya on Mon, 11/28/2016 - 15:04

when you add those type of numbers they are always odd

Submitted by Atiya on Mon, 11/28/2016 - 15:06

when you add those numbers they are odd.

Submitted by Party Time on Mon, 11/28/2016 - 15:08

when you add them they are always even

Submitted by emp1001 on Tue, 11/29/2016 - 09:25

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.