There is an interesting way to add numbers together using the idea of rainbows.  Even just thinking about rainbows and the colorful message that they convey can add a smile and positive energy to your life.  Yes, you may be going through a very difficult situation in your life.  maybe it is the hardets situation that you will ever face but there is a light at the end of the tunnel and a colorful rainbow is waiting for you on the other side.

Each of the following picture shows a sequence of numbers where the difference between any two numbers in the sequence is the same.  Your job is to compute the sum of the numbers in the sequence,  Notice that each pair of numbers in a bow addsbup  the same and so to compute the total sum all you need to do is to find that sum and multiply it by half the number of pairs.  For example:

Here the each bow adds to 11 and there are three bows so the total sum is 33.
 

How much is this rainbow adds up to?

 
 

and what about an odd raibow?

 

and how could you use this method to add the numbers from 1 to 100?

1+2+3+4+....+99+100