Quandaries
and Queries 

hi my name is yas and I am a year 9 student i need some help with my work which is to investigating sums of consecutive numbers for example: 15= 4+5+6 and 15=1+2+3+4+5 this is what i am working on can u please help me i am not to sure about this all. thank 

Hi Yas, There are lots of interesting properties about the sums of consecutive integers. Let me show you one. I am going to add 1, 2, 3, 4, 5 and 6. One procedure is to start at 1 and go to 6.
Another procedure is to start at 6 and go to 1.
A third procedure is to start at both ends and work toward the middle
If you were asked to add 1, 2, 3, 4,..., 100, that is the consecutive integers from 1 to 100, which procedure would you rather use? Penny 

