Problem 6:
Consider the given diagram. There are three rectangles shown here. Their lengths are $3,\ 4$ and $5$ units respectively, widths respectively $2,\ 3$ and $4$ units. Each small grid represents a square $1$ unit long and $1$ unit wide. Use these diagrams to find out the sum of the consecutive numbers from $1$ to $500$. (If you use some direct formula for doing so, you must provide its proof)
BdMO National 2012: Primary 6
- Attachments
-
- Figure
- Primary 6.jpg (15.53KiB)Viewed 3078 times
Every logical solution to a problem has its own beauty.
(Important: Please make sure that you have read about the Rules, Posting Permissions and Forum Language)
(Important: Please make sure that you have read about the Rules, Posting Permissions and Forum Language)
-
- Posts:1007
- Joined:Sat Dec 09, 2017 1:32 pm
Re: BdMO National 2012: Primary 6
I have got a nice solution just now.It is easy.
Solution
No,need to prove any formula.It is really easy.
Solution