All the terms of an arithmetic progression having the first term as 2 with common difference 4 and the last term as 2010, are written successively without commas or spaces, resulting in the following pattern:

2610141822263034384246.........20062010

Determine the sum of all the digits in the above pattern.

I get 6815. Just one loop to start with factor 2, add 4 to factor until hit 2010, add digits as you go.  Or is there some trick?

 

Posted by ed bottemiller on 2010-03-25 10:34:09